Evaluation of some explicit summation formulae for truncated Gauss function and applications
Künye
Qureshi, M. I., Jabee, S. & Ahamad, D. (2022). Evaluation of some explicit summation formulae for truncated Gauss function and applications. TWMS Journal Of Applied And Engineering Mathematics, 12(1), 52-59.Özet
In this paper, some explicit expressions for truncated Gauss’ hypergeometric series ₂F₁ with argument 2, when one numerator and one denominator parameters are negative integers such as ₂F₁ [−m, a; −2m + j; 2]m ; m > j and ₂F₁ [−m, a; −2m − j; 2]m ; m, j ∈ N are obtained with the help of Whipple and Vidunas identities respectively. Further, we derive some results as applications of these summation theorems.
Kaynak
TWMS Journal Of Applied And Engineering MathematicsCilt
12Sayı
1Bağlantı
https://hdl.handle.net/11729/3387http://jaem.isikun.edu.tr/web/index.php/archive/114-vol12no1/793
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