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Journals / 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
Pages
1055–1063
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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

📌 3 Key Takeaways

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Objective & Hypothesis: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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Key Findings & Data:Further, we establish some generalizations of these quadratic transformations interms of double series identities having the bounded sequence.
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Conclusion & Impact:Three reduction formulasfor Kamp ́e de F ́eriet’s double hypergeometric functions are also obtained as special cases.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

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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Cite This Article

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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References (17)

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