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An extension of basic Humbert hypergeometric functions Φ1 , Φ2 and Φ3

ملخص البحث

Given the growing quantity of proposals and works of basic hypergeometric functions in the
scope of q-calculus, it is important to introduce a systematic classification of q-calculus. Our aim in this article is to investigate several interesting q-partial derivative formulas, q-contiguous function relations, q-recurrence relations, various q-partial differential equations, summation formulas, transformation formulas and q-integrals representations for basic Humbert hypergeometric functions Φ1, Φ2 and Φ3 under constraints of symmetry parameters. These interesting properties, as special cases, include many known expansions of
basic Humbert hypergeometric functions Φ1, Φ2 and Φ3, and are also include particular interest in the area.

مؤلف البحث
Ayman Shehata
تاريخ البحث
قسم البحث
مستند البحث
مجلة البحث
Boletim da Sociedade Paranaense de Matemática
صفحات البحث
1-16
الناشر
SPM: www.spm.uem.br/bspm
عدد البحث
44
موقع البحث
doi:10.5269/bspm.76663
سنة البحث
2026