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Summation Formulae for Quintic q-Series [PDF]
Mathematics, 2022 By utilizing the modified Abel lemma on summation by parts, we examine a class of quintic q-series, that have close connections to the “twisted cubic q-series”. Several remarkable summation and transformation formulae are established.
Wenchang Chu
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\pi and other formulae implied by hypergeometric summation theorems [PDF]
, 2012 By employing certain extended classical summation theorems, several surprising \pi and other formulae are ...
Kim, Yong Sup +2 more
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On a new class of summation formulae involving the Laguerre polynomial [PDF]
, 2012 By elementary manipulation of series, a general transformation involving the generalized hypergeometric function is established. Kummer’s first theorem, the classical Gauss summation theorem and the generalized Kummer summation theorem due to Lavoie et ...
Kim, Yong S. +2 more
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Analytic study and statistical enforcement of extended beta functions imposed by Mittag-Leffler and Hurwitz-Lerch Zeta functions [PDF]
MethodsXSpecial Function Theory is used in many mathematical fields to model scientific progress, from theoretical to practical. This helps efficiently analyze the newly expanded Beta class of functions on a complicated domain.
Faten F. Abdulnabi +2 more
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Summation formulae for quadrics [PDF]
Selecta Mathematica, 2022 Removed the appendix by C-H. Hsu at the request of the referee.
Jayce R. Getz
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Several binomial summation formulae
Proceedings of the Romanian Academy, Series A: Mathematics, Physics, Technical Sciences, Information ScienceIn this work, by means of the Omega operator we establish a binomial summation formula. Its particular cases result in several interesting summation formulae. One of them solves a monthly problem proposed recently by Ohtsuka and Tauraso (2021).
Yulei Chen, Dongwei Guo
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New extensions of associated Laguerre polynomials [PDF]
E-Journal of Analysis and Applied Mathematics, 2020 The main object of this paper is to present new extensions of associated Laguerre polynomials. Some integral representations, recurrence relations, generating functions and summation formulae are obtained for these new extended Laguerre polynomials.
Ahmed Ali Al-Gonah
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Mathematics, 2022 Numerous polynomial variations and their extensions have been explored extensively and found applications in a variety of research fields. The purpose of this research is to establish a unified class of Apostol–Genocchi polynomials based on poly-Daehee ...
Talha Usman +5 more
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Summation formulas of q-hyperharmonic numbers [PDF]
Afrika Matematika, 2021 Afrika ...
Komatsu, Takao, Li, Rusen
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Four Variants of Riemann Zeta Function
Mathematics, 2022 By means of the generating function method and Dougall’s formulae for bilateral hypergeometric series, we examine four classes of infinite series, which may be considered as variants of Riemann zeta function. Several summation formulae are established in
Nadia N. Li, Wenchang Chu
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