On a new class of integrals involving generalized hypergeometric function ₄F₃
Künye
Kim, I. (2020). On a new class of integrals involving generalized hypergeometric function ₄F₃. TWMS Journal of Applied and Engineering Mathematics, 10(4), 1049-1054.Özet
The main aim of this research paper is to evaluate a general integral of the form Z 1 0 x d−1 (1 − x) d+` [1 + αx + β(1 − x)]−2d−`−1 × 4F3 a, b, 2d + ` + 1, c 1 2 (a + b + i + 1), d, 2c + j ; (1 + α)x 1 + αx + β(1 − x) dx in the most general form for any ` ∈ Z and i, j = 0, ±1, ±2. The results are established with the help of generalized Watson’s summation theorem due to Lavoie, et al. More than fifty interesting general integrals have also been obtained as special cases of our main findings.
Kaynak
TWMS Journal of Applied and Engineering MathematicsCilt
10Sayı
4Bağlantı
https://hdl.handle.net/11729/2901http://jaem.isikun.edu.tr/web/index.php/archive/108-vol10no4/613
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