Dergiler / TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics / 2020 / Cilt: 10 - Sayı: 4

SOME QUADRATIC TRANSFORMATIONS MOTIVATED BY THEWORK OF KUMMER AND THEIR GENERALIZATIONS

Mohammad Idris QURESHI,Kaleem Ahmed QURAISHI,M. Kashif KHAN

Sayfa
1055–1063
DOI
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Özet

Abstract.In this paper, we construct two quadratic transformations influenced by thework of Kummer and application of hypergeometric summation theorems of argument“two”. Further, we establish some generalizations of these quadratic transformations interms of double series identities having the bounded sequence. Three reduction formulasfor Kamp ́e de F ́eriet’s double hypergeometric functions are also obtained as special cases.

SOME QUADRATIC TRANSFORMATIONS MOTIVATED BY THEWORK OF KUMMER AND THEIR GENERALIZATIONS — AJindex