id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-747	Sharma, Poonam; Srivastava, Prachi	Some properties of a Class of p-valent Analytic Functions Associated with Convolution	2010	20	.pdf	application/pdf	8130	396	88	Taking absolute value of f (z) given in (7) and using Corollary 2, we get � � f (z) � � ≤ |zp|+ ∞ ∑ k=1 ap+k � �zp+k � � ≤ |zp|+ β � p−m+ 1 � � p+ 1 � dp+1 � �zp+1 � � and � � f (z) � �≥ |zp| − ∞ ∑ k=1 ap+k � �zp+k � � ≥ |zp| − β � p−m+ 1 � � p+ 1 � dp+1 � �zp+1 � � , which prove assertion (14). Using series expansion of � f ∗ g �m+1 and � f ∗ g �m from (8), we have � � � � � − ∞ ∑ k=1 � p+ k � !	cache/ejpam-747.pdf	txt/ejpam-747.txt