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A large number of summation and transformation formulas involving (generalized) hypergeometric functions have been developed by many authors. Here we aim at establishing two (presumably) new general hypergeometric transformations. The results are derived by manipulating the involved series in an elementary way with the aid of certain hypergeometric summation theorems obtained earlier by Rakha and Rathie. Relevant connections of certain special cases of our main results with several known identities are also pointed out.
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참고문헌 (11)
참고문헌 신청
E. D. Rainville / 1971 / Special Functions, Macmillan Company / Chelsea Publishing Company
H. M. Srivastava / 2001 / Series Associated with the Zeta and Related Functions / Kluwer Academic Publishers
H. M. Srivastava / 2012 / Zeta and q-Zeta Functions and Associated Series and Integrals / Elsevier Science Publishers
J. Choi / 2011 / A generalization of a formula due to Kummer / Integral Transforms Spec. Funct 22 (11) : 851 ~ 859
J. L. Lavoie / 1996 / Generalizations of Whipple’s theorem on the sum of a ₃F₂ / J. Comput. Appl. Math 72 (2) : 293 ~ 300
H. M. Srivastava / 2001 / Series Associated with the Zeta and Related Functions / Kluwer Academic Publishers
H. M. Srivastava / 2012 / Zeta and q-Zeta Functions and Associated Series and Integrals / Elsevier Science Publishers
J. Choi / 2011 / A generalization of a formula due to Kummer / Integral Transforms Spec. Funct 22 (11) : 851 ~ 859
J. L. Lavoie / 1996 / Generalizations of Whipple’s theorem on the sum of a ₃F₂ / J. Comput. Appl. Math 72 (2) : 293 ~ 300
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