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Shukla, A. K.
- Generalized Sheffer's Classification and Their q-Analague
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Authors
Affiliations
1 Department of Applied Mathematics & Humanities, S. V. National Institute of Technology, Surat-395 007, IN
1 Department of Applied Mathematics & Humanities, S. V. National Institute of Technology, Surat-395 007, IN
Source
The Journal of the Indian Mathematical Society, Vol 84, No 3-4 (2017), Pagination: 201-210Abstract
Polynomial sets of type zero and its properties together with various applications were studied in the past. In the Rota theory, the polynomials of Sheer A-type zero are called Sheer sequences. In particular, members of the q-analogue of the Sheer class A-type zero can be called q-Sheer sequences. In the present paper, an attempt is made to discuss q-analogues of generalized Sheer polynomials in two variables and their properties.Keywords
Differential Operator, Sheer Polynomials, q-Analogue of Sheer Polynomials.
References
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- Note on the pRq(α; β; z) Function
Abstract Views :381 |
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Authors
Affiliations
1 K. J. Somaiya College of Engineering, Somaiya Vidyavihar University, Department of Science and Humanities, Mumbai, IN
2 S.V. National Institute of Technology, Department of Applied Mathematics and Humanities, Surat, IN
1 K. J. Somaiya College of Engineering, Somaiya Vidyavihar University, Department of Science and Humanities, Mumbai, IN
2 S.V. National Institute of Technology, Department of Applied Mathematics and Humanities, Surat, IN
Source
The Journal of the Indian Mathematical Society, Vol 88, No 3-4 (2021), Pagination: 288–297Abstract
The aim of this paper is to give some convergence conditions of the pRq(α; β; z) function. We also derive the integral representation of the function pRq(α; β; z) in the form of Mellin-Barnes Integral including its analytic property.Keywords
Mellin{Barnes Integral, Mittag{Leer function, hypergeometric function, Wright functionsReferences
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- Generalized Integral Transform and Fractional Calculus Involving Extended pRq(α β Ζ) Function
Abstract Views :119 |
PDF Views:0
Authors
Affiliations
1 Department of Applied Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Surat, 395 007, IN
1 Department of Applied Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Surat, 395 007, IN
Source
The Journal of the Indian Mathematical Society, Vol 89, No 1-2 (2022), Pagination: 100–116Abstract
Generalized Integral Transform and Fractional Calculus Involving Extended pRq(α β Ζ) FunctionKeywords
Generalized hypergeometric function, Wright hypergeometric function, Generalized integral transforms, k-Pochhammer symbol, Pathway fractional hypergeometric integral operator.References
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