...

  • Home
  • Articles
    • Current Issue
    • Archives
  • Authors
    • Author Guidelines
    • Policies
    • Downloads
  • Editors
  • Reviewers
...

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 57 | Number 5 | Year 2018 | Article Id. IJMTT-V57P549 | DOI : https://doi.org/10.14445/22315373/IJMTT-V57P549

Estimation of Integrals Associated with Generalized Galue' Type Struve Function


Mohd. Saif, Kottakkaran Sooppy Nisar, Abdul Hakim Khan
Citation :

Mohd. Saif, Kottakkaran Sooppy Nisar, Abdul Hakim Khan, "Estimation of Integrals Associated with Generalized Galue' Type Struve Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 57, no. 5, pp. 359-365, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V57P549

Abstract

The aim of this paper is to derive some fascinating integrals involving the generalized Galue' type Struve function in term of Fox-Wright function. Based on the new results, some integral formulas involving different special functions are established as special cases of our main result for different values of parameters.

Keywords
Fox-Wright function, Galue' type Struve function, Mittag Leffler function, Wright function,Struve function [2010]33B15, 33C10, 33C15.
References

[1] R. M. Ali, Saiful R. Mondal, and K. S. Nisar, Monotonicity properties of the generalized Struve functions, J. Korean Math. Soc. 54 (2017), 575–598.
[2] J. Choi, K.S. Nisar; Certain families of integral formulas involving Struve function Boletim da Sociedade Paranaense de Matematica, 37(2019), 27-35.
[3] A.K. Agrwal, A generalization of di-Bessel function, Exton. Indian J. Pure Appl. Math, 15 (1984), 139-148.
[4] A. Baricz, Generalized Bessel function of the first kind. Lecture Notes in Mathematics Springer, Berlin 2010.
[5] K.N. Bhomick, Some relation between a generalized Struve’s function and hypergeometric functions. Vijnana Parishad Anusandhan Patrika, 5(1962), 93-99.
[6] K.N. Bhomick, A generalized Struve’s function and its recurrence formula. Vijnana Parishad Anusandhan Patrika, 6 (1963), 1-11.
[7] J. Edward, A treatise on the integral calculus, Chelsea Publication Company, New York, II (1922).
[8] Erdelyi, A Higher Transcendental function, McGraw-Hill, New York, 1(1953).
[9] H. Exton, On a generalization of Bessel -Clifford equation and an application in quantum mechanics.Riv Math Univ.Parma, 4 ( 1989), 41-16.
[10] L. Galue (2003) A generalized Bessel function. Int Transform Spec Funct, 14 (2010), 395-401.
[11] A. Gray ,G.B. Mathews,T.M. MacRobert A treatise on Bessel function and their application to physics Second ed.,Macmillan,London 1992.
[12] R. Gorenflo, F. Mainardi, H.M. Srivastava, Special function in fractional relaxation-oscillation and fractional diffusion-wave phenomena,in:D.Baino(Ed.), Proceeding of the Eighth International Colloquium on Differential Equation, Plovdiv, August 18-23, 1997,VSP, Utrecht, (1998), 195-202.
[13] R. Gorenflo, Y. Luckho, F. Mainardi, Analytical properties and application of the Wright function, Fract. Calc. Appl. Anal.2(1999), 383-414.
[14] B.N. Kant, Integral involving generalized Struve’s function., Nepali Math Sci Rep, 6 (1981), 61-64.
[15] O. Khan, M. Kamrujjama and N. U. Khan, Certain Integral Transform Involving The Product of Galue type Struve Function and Jacobi polynomial, Palestine J. Math. (Accepted) (2018).
[16] K.S. Nisar, P. Agrwal, S.R. Mondal, On fractional integral of generalized Struve function of first kind Adv. Stud. Contemp. Math 26(2016), 63-70.
[17] K.S. Nisar, D. Baleanu and M.M. Al Qurashi, Fractional calculus and application of generalized Struve function,SpringerPlus, 5, 910(2016), DOI 10.1186/s40064-016-2560-3.
[18] K.S. Nisar, F.B.M. Belgacem, Dynamic k-Struve Sumudu solutions for fractional kinetic equations, Advances in Differential Equations, 2017 (2017), 340.
[19] K.S. Nisar, Fractional kinetic equations involving Struve function using Sumudu transform, Mathematical Sciences International Research Journal, 6(2017), 13-17.
[20] K.S. Nisar, S.R. Mondal, and J. Choi, J Inequal Appl (2017) 2017, 71. https://doi.org/10.1186/s13660-017-1343-x.
[21] H. Orhan and N. Yagmur,Geometric properties of generalized Struve function Ann Alexandru loan Cuza Univ-Math,doi:10.2478/aicu-2014-0007.
[22] R.P. Singh Generalized Struve function and its recurrence relations.Ranchi Univ Math, J 5 (1974), 67-75.
[23] D.L. Suthar, S.D. Purohit, K.S. Nisar, Some unified integrals associated with generalized struve function, arXiv:1608.03134(2016).
[24] E.M. Wright, The asymptotic expansion of the generalized hypergeometric function,J.London Math.Soc., 10(1935), 287-293.
[25] A. Wiman, Uber den fundamental Satz in der Theorie der Funktionen.

  • PDF
  • Citation
  • Abstract
  • Keywords
  • References
Citation Abstract Keywords References
  • Home
  • Authors Guidelines
  • Paper Submission
  • APC
  • Archives
  • Downloads
  • Open Access
  • Publication Ethics
  • Copyrights Infringement
  • Journals
  • FAQ
  • Contact Us

Follow Us

Copyright © 2025 Seventh Sense Research Group® . All Rights Reserved