Making suitable adjustment of parameters in reduction formulas for 4F3 and 3F2 , we obtain some results in terms of elementary functions and some special functions like Lerch generalized zeta function and incomplete beta function.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this paper, we obtain a general double-series identity involving the bounded sequence of arbitrary complex numbers.
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Temel Bulgular & Veri:As application of our double-series identity, we establish some reduction formulas for Srivastava–Daoust double hypergeometric function and Gaussian generalized hypergeometric function 4F3 .
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Sonuç & Katkı:Making suitable adjustment of parameters in reduction formulas for 4F3 and 3F2 , we obtain some results in terms of elementary functions and some special functions like Lerch generalized zeta function and incomplete beta function.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri
Abstract
In this paper, we obtain a general double-series identity involving the bounded sequence of arbitrary complex numbers. As application of our double-series identity, we establish some reduction formulas for Srivastava–Daoust double hypergeometric function and Gaussian generalized hypergeometric function 4F3 . As special cases of our reduction formula for 4F3 lead to some corollaries involving Clausen hypergeometric functions 3F2 . Making suitable adjustment of parameters in reduction formulas for 4F3 and 3F2 , we obtain some results in terms of elementary functions and some special functions like Lerch generalized zeta function and incomplete beta function.
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Bu Makaleye Atıf Yap
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