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Some New Integrals Involving S-function and Polynomials

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Abstract

In this paper, we aim to establish the new integrals involving S-function and Laguerre polynomials. On account of the most general nature of the functions involved herein, our main findings are capable of yielding a large number of new, interesting and useful integrals, expansion formula involving the S-function and the Laguerre polynomials as their special cases .

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References

  1. Saxena RK, Daiya J (2015) Integral transforms of the S-functions. Le Math LXX:147–159

    MATH  Google Scholar 

  2. Prabhakar TR, Suman R (1978) Some results on the polynomials \(L^{\alpha,\beta }_n(x)\). Rocky Mt J Math 8(4):751–754

    Article  Google Scholar 

  3. Rainville ED (1960) Special functions. Macmillan, New York

    MATH  Google Scholar 

  4. Srivastava HM (1985) A multilinear generating function for the Konhauser sets of bi-orthogonal polynomials suggested by the Laguerre polynomials. Pac J Math 117(1):183–191

    Article  Google Scholar 

  5. Shukla AK, Prajapati JC, Salehbhai IA (2009) On a set of polynomials suggested by the family of Konhauser polynomial. Int J Math Anal 3(13–16):637–643

    MathSciNet  MATH  Google Scholar 

  6. Spanier J, Oldham KB (1987) An Atlas of functions, hemisphere. Springer, Berlin

    MATH  Google Scholar 

  7. Agarwal P, Chand M, Jain S (2015) Certain integrals involving generalized Mittag-Leffler functions. Proc Natl Acad Sci India Sect A Phys Sci 85(3):359–371

    Article  MathSciNet  Google Scholar 

  8. Saxena RK, Daiya J, Singh A (2014) Integral transforms of the k-generalized Mittag-Leffler function \(E^{\gamma,\tau }_{k,\alpha,\beta }(z)\). Le Math 69(2):7–16

    MATH  Google Scholar 

  9. Sharma K (2011) Application of fractional calculus operators to related areas. Gen Math Notes 7(1):33–40

    Google Scholar 

  10. Sharma K, Jain R (2009) A note on a generalized M-series as a special function of fractional calculus. FCAA 12(4):449–452

    MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Baba Farid College, Deon, Bathinda, 151001, India

    Mehar Chand

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  1. Mehar Chand
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Correspondence to Mehar Chand.

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Chand, M. Some New Integrals Involving S-function and Polynomials. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 90, 115–121 (2020). https://doi.org/10.1007/s40010-018-0545-z

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  • DOI: https://doi.org/10.1007/s40010-018-0545-z

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