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Jagtap, T. B.
- Generating Function of some Biorthogonal Polynomials Involving Stirling Numbers of Second Kind
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Authors
Affiliations
1 Mudhoji College, Phaltan (M.S.), IN
2 Y.C. Institute of Science, Satara (M.S.), IN
1 Mudhoji College, Phaltan (M.S.), IN
2 Y.C. Institute of Science, Satara (M.S.), IN
Source
The Journal of the Indian Mathematical Society, Vol 83, No 1-2 (2016), Pagination: 87-95Abstract
In 1982 Madhekar and Thakare defined and studied a pair of biorthogonal polynomials {Jn(α, β, k; x)} and {Kn(α, β, k; x)} with respect to Jacobi weight function (1-x)α (1+x)β over the interval (-1, 1) where α > -1; β > -1 and k is positive integer. In the present paper some generating functions of biorthogonal polynomials of second set {Kn(α, β, k; x)} involving Stirling numbers of second kind are obtained by using Srivastava's method and some particular cases are also noted.Keywords
Jacobi Weight Function, Biorthogonal Polynomials, Generating Function, Stirling Number.References
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- Existence of Iterative Fractional Differential Equation with Nonlocal Condition
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Authors
V. V. Kharat
1,
T. B. Jagtap
2
Affiliations
1 Department of Mathematics, N. K. Orchid College of Engg. and Tech., Solapur-413002, IN
2 Department of Mathematics, Y. C. Institue of Science, Satara-415001, IN
1 Department of Mathematics, N. K. Orchid College of Engg. and Tech., Solapur-413002, IN
2 Department of Mathematics, Y. C. Institue of Science, Satara-415001, IN
Source
The Journal of the Indian Mathematical Society, Vol 83, No 1-2 (2016), Pagination: 97-106Abstract
The aim of the present paper is to establish the existence and uniqueness of solutions of iterative fractional differential equation with nonlocal condition.Keywords
Iterative Fractional Differential Equations, Existence of Solution, Fixed Point Theorem.References
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