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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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Three reduction formulasfor Kamp ́e de F ́eriet’s double hypergeometric functions are also obtained as special cases.

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Amaç & Hipotez:Abstract.In this paper, we construct two quadratic transformations influenced by thework of Kummer and application of hypergeometric summation theorems of argument“two”.
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Temel Bulgular & Veri:Further, we establish some generalizations of these quadratic transformations interms of double series identities having the bounded sequence.
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Sonuç & Katkı:Three reduction formulasfor Kamp ́e de F ́eriet’s double hypergeometric functions are also obtained as special cases.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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.

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Bu Makaleye Atıf Yap

QURESHI, M. I., QURAISHI, K. A., KHAN, M. K. (2020). SOME QUADRATIC TRANSFORMATIONS MOTIVATED BY THEWORK OF KUMMER AND THEIR GENERALIZATIONS. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, Cilt: 10 - Sayı: 4, 1055–1063. https://ajindex.com/articles/327405

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Kaynakça (17)

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