Search Results - "Ayant, Frédéric"

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  1. 1

    Certain integral equation of fredholm type with special functions by Kumar, Dinesh, Ayant, Frédéric

    “…Recently, Chaurasia et al. [5] have solved the one-dimensional integral equation of Fredholm type involving the product of special functions. We solve an…”
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    Journal Article
  2. 2

    Certain integral involving the product of Srivastava polynomials and special functions by Kumar, Dinesh, Ayant, Frédéric, Prakash, Amit

    Published in Afrika mathematica (2021)
    “…In this paper, we obtain a integral involving the general class of polynomials (Srivastava polynomials) and Special functions which are the adequately general…”
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    Journal Article
  3. 3

    Application of Jacobi Polynomial and Multivariable Aleph- Function in Heat Conduction in Non-Homogeneous Moving Rectangular Parallelepiped by KUMAR, DINESH, AYANT, FRÉDÉRIC

    Published in Kragujevac Journal of Mathematics (01-05-2021)
    “…The present paper deals with an application of Jacobi polynomial and multivariable Aleph-function to solve the differential equation of heat conduction in…”
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    Journal Article
  4. 4

    On Fractional q-Integral Operators Involving the Basic Analogue of Multivariable Aleph-Function by Kumar, Dinesh, Ayant, Frédéric, Nisar, Kottakkaran Sooppy, Suthar, Daya Lal

    “…In the present article, we proposed the fractional-order Kober and generalized Weyl q -integrals involving a basic (or q -) analogue of multivariable…”
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    Journal Article Conference Proceeding
  5. 5

    Certain q-Analogue of Fractional Integrals and Derivatives Involving Basic Analogue of the Several Variable Aleph-Function by Kumar, Dinesh, Ayant, Frédéric, Südland, Norbert, Choi, Junesang

    Published in Axioms (01-01-2023)
    “…Using Mellin-Barnes contour integrals, we aim at suggesting a q-analogue (q-extension) of the several variable Aleph-function. Then we present Riemann…”
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    Journal Article
  6. 6

    Certain Finite Integrals Related to the Products of Special Functions by Kumar, Dinesh, Ayant, Frédéric, Asawasamrit, Suphawat, Tariboon, Jessada

    Published in Symmetry (Basel) (01-11-2021)
    “…The aim of this paper is to establish a theorem associated with the product of the Aleph-function, the multivariable Aleph-function, and the general class of…”
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    Journal Article
  7. 7

    Finite summation formulas for the multivariable $A$-function by Kumar, Dinesh, Ayant, Frédéric, Daiya, Jitendra, Nisar, Koottakkaran Sooppy

    “…The object of this paper is to evaluate some finite double summations relations for the multivariable $A$-function using the summation of a double…”
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    Journal Article
  8. 8

    On Transformation Involving Basic Analogue of Multivariable H-Function by Kumar, Dinesh, Tariboon, Jessada, Ayant, Frédéric

    Published in Journal of function spaces (2020)
    “…In this article, fractional order q-integrals and q-derivatives involving a basic analogue of multivariable H-function have been obtained. We give an…”
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    Journal Article
  9. 9

    On Transformation Involving Basic Analogue to the Aleph-Function of Two Variables by Kumar, Dinesh, Baleanu, Dumitru, Ayant, Frédéric, Südland, Norbert

    Published in Fractal and fractional (01-02-2022)
    “…In our work, we derived the fractional order q-integrals and q-derivatives concerning a basic analogue to the Aleph-function of two variables (AFTV). We…”
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    Journal Article
  10. 10

    Analytical Solutions of Temperature Distribution in a Rectangular Parallelepiped by Kumar, Dinesh, Ayant, Frédéric Yves, Cesarano, Clemente

    Published in Axioms (01-09-2022)
    “…In the present article, we give analytical solutions for temperature distribution in a rectangular parallelepiped with the help of a multivariable I-function…”
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    Journal Article
  11. 11

    A New Class of Integrals Involving Generalized Hypergeometric Function and Multivariable Aleph-Function by KUMAR, DINESH, AYANT, FRÉDÉRIC, KUMAR, DEVENDRA

    Published in Kragujevac Journal of Mathematics (01-01-2020)
    “…The aim of this paper is to evaluate an interesting integral involving generalized hypergeometric function and the multivariable Aleph-function. The integral…”
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    Journal Article
  12. 12

    Integral Involving the Product of Multivariable Alephfunction, General Class of Srivastava Polynomials and Alephfunction of One Variable by KUMAR, DINESH, AYANT, FRÉDÉRIC, NARESH, V.

    Published in Kragujevac Journal of Mathematics (2025)
    “…In this paper, we derive an integral involving the multivariable Aleph-function, the general class of Srivastva polynomials, and the Aleph-function of one…”
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    Journal Article
  13. 13

    FINITE INTEGRAL FORMULA INVOLVING ALEPH-FUNCTION AND GENERALIZED MITTAG-LEFFLER FUNCTION by Kumar, D., Ayant, F. Y., Singh, A., Banerji, P. K.

    Published in Issues of analysis (01-01-2020)
    “…The aim of this paper is to establish general definite integrals involving product of the Aleph function and the generalized Mittag-Leffler function with…”
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    Journal Article
  14. 14

    Fractional calculus pertaining to multivariable Aleph-function by Kumar, Dinesh, Ayant, Frederic

    “…In this paper we study a pair of unied and extended fractional integral operator involving the multivariable Aleph-function, Aleph-function and general class…”
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    Journal Article