On a hypergeometric summation theorem due to Qureshi Et Al.
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We first aim at proving an interesting easily derivable summation formula. Then it is easily seen that this formula immediately yields a hypergeometric summation theorem recently added to the literature by Qureshi et al. Moreover we apply the main formulas to present some interesting summation formulas, whose special cases are also seen to yield the earlier known results.
Abstract
We first aim at proving an interesting easily derivable summation formula. Then it is easily seen that this formula immediately yields a hypergeometric summation theorem recently added to the literature by Qureshi et al. Moreover we apply the main formulas to present some interesting summation formulas, whose special cases are also seen to yield the earlier known results.
참고문헌 (8)
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- A. Erd´elyi, "Higher Transcendental Functions, Vol. 2" (1953), McGraw-Hill Book Company
- A. P. Prudnikov, "Integrals and Series, Vol. 3; More Special Functions, “Nauka”" (1990), Montreux and Melbourne
- M. I. Qureshi, "Some hypergeometric summation for- mulas and series identities associated with exponential and trigonometric functions", In- tegral Transforms Spec. Funct, 19(3), pp.267~276 (2008)
- E. D. Rainville, "Special Functions" (1971), Chelsea Publishing Company
- H. M. Srivastava, "ZETA AND q-ZETA FUNCTIONS AND ASSOCIATED SERIES AND INTEGRALS" (2012), Elsevier
- H. M. Srivastava, "A Treatise on Generating Functions" (1984), John Wiley and Sons