Journal ArticleDOI
Some hypergeometric summation formulas and series identities associated with exponential and trigonometric functions
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In this article, the authors obtained two Gaussian hypergeometric summation formulas and applied them to derive general double-series identities and various generalized hypergeometrical representations of such combinations of the exponential and trigonometric functions.Abstract:
In this paper, we obtain two Gaussian hypergeometric summation formulas and show how each of these summation formulas can be applied to derive several general double-series identities and various generalized hypergeometric representations of such combinations of the exponential and trigonometric functions as The results presented here are presumably new.read more
Citations
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Some classes of generating functions for generalized Hermite- and Chebyshev-type polynomials: Analysis of Euler's formula
Neslihan Kilar,Yilmaz Simsek +1 more
TL;DR: In this paper, the authors construct generating functions for new families of polynomials including Appel polynomorphisms, Hermite-Kampe de Feriet poynomials, the Milne-Thomson type polynomial, parametric kinds of Apostol type numbers and polynoms.
Journal ArticleDOI
A family of integral equations with restricted solutions
TL;DR: In this paper, a family of Volterra integral equations of a special kind is considered, where a given function occurs both in the integrand and in the expression on the right equal to the convolution integral.
Journal ArticleDOI
On a hypergeometric summation theorem due to qureshi et al.
Junesang Choi,Arjun K. Rathie +1 more
TL;DR: In this article, an interesting easily derivable sum-mation formula is presented, which immediately yields a hypergeometric summation theorem recently added to the literature by Qureshi et al. Moreover, the main formulas to presentsome interesting summation formulas, whose special cases are also seento yield the earlier known results.
Journal ArticleDOI
Applications of Some Hypergeometric Summation Theorems Involving Double Series
TL;DR: The main object of as discussed by the authors is to derive a number of general double series identities and to apply each of these identities in order to deduce several hypergeometric reduction formulas for the Srivastava-Daoust double hypergeometrical function.
Posted Content
Evaluation of some non-elementary integrals involving the generalized hypergeometric function with some applications
TL;DR: In this paper, the analytical solution of the Orr-Sommerfeld equation in the short-wave limit is expressed in terms of some infinite series involving the generalized hypergeometric series $_2F_3.
References
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Higher Transcendental Functions
TL;DR: Higher Transcendental Functions Based on notes left by the late Prof. Harry Bateman, and compiled by the Staff of the Bateman Project as discussed by the authors, are presented in Table 1.
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