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cuesj-995	Saleh, Salem; Al-Qashbari, A. M.A.	On Generalized Recurrent Finsler Spaces of Higher Order with Berwald’s Curvature Tensor	2023	7	.pdf	application/pdf	8938	236	71	Taking derivative of 5th order of (4.2), with respect to xl, xm, xn, xs, and xr, successively, we get               r s n m l jkh i r s n m l jkh i r s n m l jp i hk pW K C H       � � � � � �� �1 3 �B B B B Br s n m l k i jh jk h iR g R� (4.3) Using (2.1) and substituting the condition (4.2) in (4.3), we get     r s n m l jkh i lmnsr jkh i lmnsr jp i hk p lmnsr k iW W C H� �� � � � �� � � � 1 3 RR g Rjh jk h i�� �� � � �� � � �� �� � � � �� � � � � �lmnsr h i jk k i jh lmns q q h Contracting the indices i and h in (4.4), using (1.18c), (1.5), (1.4b), (1.4c), and (1.15j), we get     r s n m l jk lmnsr jk lmnsr jp i ik p lmnsr jk W a W a C H R g � � � �� � � � � � 1 3 � jjkR� � (4.14) � �� � � �� � � �� �n b g n y C n y Clmns jk lmns q q jkr lmnr q q j1 2 1 2 1� � � �� �� �  kks � �� � � �� � � �� � 2 1 2 1 2 1 n y C n y C n lmn r q q jks lmsr q q jkn lms r � � � � � �    � q q jkny C � � �� � � �� � � �� � 2 1 2 1 2 1 n y C n y C n lmr s q q jkn lm r s q q jkn lnsr �� � � � �     ��p q jkmy C � �� � � �� � � �� � 2 1 2 1 2 1 n y C n y C n lns r p q jkm lnr s q q jkm ln r s � � � �      qq q jkmy C �� �� � � �� � � �� � 2 1 2 1 2 1 n y C n y C n lsr n q q jkm ls r n q q jkm lr s n � � �        q q jkmy C � �� � � � � � 2 1 1 3 n y C C Hl r s n q q jkm r s n m l jp	cache/cuesj-995.pdf	txt/cuesj-995.txt