srivastava_cv.dvi EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS Vol. 3, No. 6, 2010, 1165-1169 ISSN 1307-5543 – www.ejpam.com Professor H. M. Srivastava: Man and Mathematician Ismail Naci Cangül Uludaǧ University, Faculty of Arts and Science Görükle Campus, TR–16059 Bursa, Turkey 1. Brief Biographical Sketch Professor Hari Mohan Srivastava was born on 5th July 1940 at Karon in District Ballia of the Province of Uttar Pradesh in India. His father, Mr. Harihar Prasad (1900–1985), was a lawyer practicing in the Civil and District Courts at Ballia. His mother, Mrs. Bela Devi (1910–1989), was remarkably well-versed in the Vedic and Hindu religious scriptures which greatly influenced his childhood and later life spiritually as well as culturally. His father, on the other hand, significantly strengthened his pre-university education especially in the subjects of English and Mathematics. Having had hardly any formal education at the Primary School level, Professor Srivastava was admitted in 1946 into Grade 3 of the Government Higher Secondary School at Ballia at the age of 6 years after his successful performance in the mandatory written and oral entrance examinations. It is at this School where he was awarded a double promotion from Grade 4 to Grade 6, without having to go through Grade 5. This did indeed accelerate his completion of High School (Grade 10) in 1953. During the next two years (1953–1955), he studied at B. N. V. College at Rath in District Hamirpur of the Province of Uttar Pradesh, where he completed his I. Sc. in 1955, breaking all existing academic and scholarly records of that College as well as in other colleges in the region. Professor Srivastava received his university education at the University of Allahabad where he completed his B. Sc. in 1957 and M. Sc. in 1959. Besides being a throughout high First class [right from High School (1953) to M. Sc. (1959)] and meritorious product of the University of Allahabad, and having won a number of merit prizes and scholarships, he was awarded the Allahabad Jubilee Medal in the year 1959. During the period (1955–1959) of his four-year stay at the University of Allahabad, Professor Srivastava also published two first-prize-winning short stories in English, which were subsequently translated and published in other Indian languages (especially in Hindi). Professor Srivastava began his university-level teaching career in 1959 itself at the age of 19 years. He taught at D. M. Government College in Imphal (now Manipur University) during the academic year 1959–1960 and at the University of Roorkee (now the Indian Institute of Email address: angul�uludag.edu.tr (Ismail Naci Cangül) http://www.ejpam.com 1165 I. N. Cangül / Eur. J. Pure Appl. Math, 3 (2010), 1165-1169 1166 Technology at Roorkee) during the academic years 1960–1963. He then moved to Jodhpur University (now Jai Narain Vyas University) where he earned his Ph. D. degree in 1965 while he was a full-time member of the teaching faculty at Jodhpur University (since 1963). Currently, Professor Srivastava holds the position of a Professor Emeritus in the Department of Mathematics and Statistics at the University of Victoria in Canada. He joined the faculty there in 1969 [first as Associate Professor (1969–1974) and then as Full Professor (1974–2006)]. Professor Srivastava has held numerous visiting positions including (for ex- ample) those at West Virginia University in U. S. A. (1967–1969), Université Laval in Canada (1975), and the University of Glasgow in U. K. (1975–1976), and indeed also at many other universities and research institutes in different parts of the world. Professor Srivastava’s academic as well as personal life has been greatly enriched by the dedicated and whole-hearted support of his wife, Prof. Dr. Rekha Srivastava, who is also a mathematician and colleague in the same Department of Mathematics and Statistics at the University of Victoria, and by his two children, Sapna Srivastava (who is currently working as a Journalist in New York after her Master’s degree in Journalism from Fordham Univer- sity in New York) and Gautam Mohan Srivastava (who is currently at the final stages of completing his Ph. D. in the Department of Computer Science at the University of Victoria). Many of Professor Srivastava’s teachers (especially those at the University of Allahabad), too, deserve to be credited for his choice of a teaching career and for his academic and scholarly accomplishments in his chosen profession. When not fully immersed into his research and writing, Professor Srivastava prefers to pursue one of his main hobbies: watching movies and serials (mostly in Hindi) on large-screen television at home with his family. His continuing interest in sports is exemplified by his active participation in hockey games until recently and by his regular attendance at baseball games - live (especially when his son, who is presently also a successful Baseball Coach, used to play) or on television - with his wife (who incidentally got him deeply interested in baseball games, too). Besides, the spiritual and religious inclinations of Professor Srivastava and his wife, which were implanted in them by the cultural and spiritual environment of their respective families, grew much stronger in their own family life. He and his wife, together with their children, have contributed significantly to community and other related services to the society. 2. Honours, Awards and Other Accomplishments An elected Fellow (and/or Honorary Member) of many scientific societies and academies all over the world, Professor Srivastava has published 18 books, monographs and edited vol- umes, 30 book (and encyclopedia) chapters, 42 papers in international conference proceed- ings, and more than 900 scientific journal articles on various topics of mathematical analysis and applicable mathematics. In addition, he has written Forewords to several books by other authors and to several special issues of scientific journals. He has also edited (and contributed to) many volumes which are dedicated to the memories of fa- mous mathematical scientists. Citations of his research contributions can be found in many books and monographs, Ph. D. and D. Sc. theses, and scientific journal articles, much too numerous to be recorded here. Currently, he is actively associated editorially (that is, as an I. N. Cangül / Eur. J. Pure Appl. Math, 3 (2010), 1165-1169 1167 Editor, Honorary Editor, Senior Editor, Associate Editor or Editorial Board Member) with over 200 international scientific research journals. His biographical sketches (many of which are illustrated with his photograph) have appeared in various issues of more than 50 international biographies, directories, and Who’s Who’s. Professor Srivastava’s over 50-year career as a university-level teacher and as a remarkably prolific researcher in many different areas of the mathematical, physical, and statistical sciences is highlighted by (among other things) the fact that he has collaborated and published joint papers with as many as 350 mathematicians, physicists, statisticians, chemists, astrophysicists, and geochemists who are scattered throughout the world, thereby qualifying for his Erdös number 2, implying that at least one of Professor Srivastava’s co-authors is a co-author of the famous Hungarian mathematician, Paul Erdös (1913–1996). Professor Srivastava’s collaboration distances with other famous scientists include his Einstein number 3, von Neumann number 3, and so on. Some of the most recent prizes and distinctions awarded to Professor Srivastava include (for example) the following items: 1. NSERC 25-Year Award: University of Victoria, Canada (2004) 2. The Nishiwaki Prize: Japan (2004) 3. Doctor of Science (Honoris Causa): Chung Yuan Christian University, Chung-Li, Taiwan, Republic of China (2006) 4. Doctor of Science (Honoris Causa): “1 Decembrie 1918" University of Alba Iulia, Romania (2007) 3. Research Contributions Many mathematical entities and objects are attributed to (and named after) him. These entities and objects include (among other items) Srivastava’s polynomials and functions, Carlitz-Srivastava polynomials, Srivastava-Buschman polynomials, Srivastava-Singhal polynomials, Chan-Chyan-Srivastava polynomials, Srivastava-Daoust multivariable hypergeometric function, and Srivastava-Panda multivariable H-function in the field of Higher Transcendental Functions; Srivastava-Owa, Choi-Saigo-Srivastava, Jung-Kim-Srivastava, Liu-Srivastava, Cho-Kwon-Srivastava, Dziok-Srivastava, Srivastava-Attiya and Srivastava-Wright operators in the field of Geometric Function Theory in Complex Analysis; Srivastava-Gupta operator in the field of Approximation Theory; Srivastava, Adamchik-Srivastava and Choi-Srivastava methods in the field of Analytic Number Theory; and so on. Professor Srivastava has supervised (and is currently supervising) a number of post-graduate students working toward their Master’s, Ph. D. and/or D. Sc. degrees in dif- ferent parts of the world. Besides, many post-doctoral fellows and research associates have worked with him at West Virginia University in U. S. A. and at the University of Victoria in Canada. Some of the significant and remarkable contributions by Professor Srivastava are being listed below under each of the main topics of his current research interests: I. N. Cangül / Eur. J. Pure Appl. Math, 3 (2010), 1165-1169 1168 (i) Real and Complex Analysis: A unified theory of numerous potentially useful function classes, and of various integral and convolution operators using hypergeometric functions, especially in Geometric Function Theory in Complex Analysis, and several classes of analytic and geometric inequalities in the field of Real Analysis. (ii) Fractional Calculus and Its Applications: Generalizations of such classical fractional-calculus operators as the Riemann-Liouville and Weyl operators together with their fruitful applications to numerous families of differential, integral, and integro-differential equations, especially some general classes of fractional kinetic equations and also to some Volterra-type integro-differential equations which emerge from the unsaturated behavior of the free electron laser. (iii) Integral Equations and Transforms: Explicit solutions of several general families of dual series and integral equations occurring in Potential Theory; Unified theory of many known generalizations of the classical Laplace transform (such as the Meijer and Varma transforms) and of other multiple integral transforms by means of the Whittaker Wκ,µ-function and the (Srivastava-Panda) multivariable H-function in their kernels. (iv) Higher Transcendental Functions and Their Applications: Discovery, introduction, and systematic (and unified) investigation of a set of 205 triple Gaussian hyper- geometric series, especially the triple hypergeometric functions HA, HB and HC added to the 14-member set conjectured and defined in 1893 by Giuseppe Lauricella (1867–1913). Unified theory and applications of the multivariable extensions of the celebrated higher transcenden- tal (Ψ- and H-) functions of Charles Fox (1897–1977) and Edward Maitland Wright (1906– 2005), and also of the Mittag-Leffler E-functions which are named after Gustav Mittag-Leffler (1846–1927). Mention should be made also of his applications of some of these Higher Transcendental Functions in Quantum and Fluid Mechanics, Astrophysics, Probability Distribution Theory, Queuing Theory and other related Stochastic Processes, and so on. (v) q-Series and q-Polynomials: Basic theory of general q-polynomial expansions for func- tions of several complex variables, extensions of several celebrated q-identities of Srinivasa Ramanujan (1887–1920), and systematic introduction and investigation of multivariable basic (or q-) hypergeometric series. (vi) Analytic Number Theory. Presentation of several computationally-friendly and rapidly- converging series representations for Riemann’s Zeta function, Dirichlet’s L-series, introduc- tion and application of some novel techniques for closed-form evaluations of series involving a wide variety of sequences and functions of analytic number theory, and so on. His applica- tions of (especially) the Hurwitz-Lerch Zeta function in Geometric Function Theory in Com- plex Analysis and in Probability Distribution Theory and related topics of Statistical Sciences deserve to be recorded here. Professor Srivastava’s publications have been reviewed by (among others) Mathematical Reviews (U. S. A.), Referativnyi Zhurnal Matematika (Russia), Zentralblatt für Mathe- matik (Germany), and Applied Mechanics Reviews (U. S. A.) under various 2010 Mathe- matical Subject Classifications (MathSciNet) including (for example) the following general classifications: I. N. Cangül / Eur. J. Pure Appl. Math, 3 (2010), 1165-1169 1169 01 History and Biography 05 Combinatorics 11 Number Theory 15 Linear and Multilinear Algebra; Matrix Theory 26 Real Functions 30 Functions of a Complex Variable 31 Potential Theory 33 Special Functions 34 Ordinary Differential Equations 35 Partial Differential Equations 39 Difference and Functional Equations 40 Sequences, Series, Summability 41 Approximations and Expansions 42 Fourier Analysis 44 Integral Transforms, Operational Calculus 45 Integral Equations 46 Functional Analysis 47 Operator Theory 58 General Global Analysis, Analysis on Manifolds 60 Probability Theory and Stochastic Processes 62 Statistics 76 Fluid Mechanics 78 Optics, Electromagnetic Theory 81 Quantum Theory 85 Astronomy and Astrophysics Presented by Prof. Dr. Ismail Naci Cangül Dean of the Faculty of Arts and Science Uludaǧ University, Görükle Campus TR–16059 Bursa, Turkey E-Mail: cangul@uludag.edu.tr ncangul@gmail.com Web Site: http://homepage.uludag.edu.tr/∼cangul/