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A Note on Generating Functions Involving the Generalized Gauss Hypergeometric Functions

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Abstract

In this paper, authors aim at establishing certain generating functions for the generalized Gauss hypergeometric functions. All the results derived here are of general character and can yield a number of (known and new) results in the theory of generating functions.

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References

  1. Chaudhry MA, Qadir A, Rafique M, Zubair SM (1997) Extension of Euler’s beta function. J Comput Appl Math 78:19–32

    Article  Google Scholar 

  2. Chaudhry MA, Qadir A, Srivastava HM, Paris RB (2004) Extended hypergeometric and confluent hypergeometric functions. Appl Math Comput 159:589–602

    Article  Google Scholar 

  3. Özergin E, Özarslan MA, Altin A (2011) Extension of gamma, beta and hypergeometric functions. J Comput Appl Math 235:4601–4610

    Article  Google Scholar 

  4. Özergin E (2011) Some properties of hypergeometric functions. Ph.D. Thesis, Eastern Mediterranean University, North Cyprus

  5. Srivastava HM, Choi J (2012) Zeta and \(q\)-zeta functions and associated series and integrals. Elsevier Science Publishers, Amsterdam, London, New York

    Google Scholar 

  6. Srivastava HM, Karlsson PW (1985) Multiple Gaussian hypergeometric series. Ellis Horwood Limited, Chichester

    Google Scholar 

  7. Srivastava HM, Manocha HL (1984) A treatise on generating functions. Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisban and Toronto

  8. Agarwal P, Koul CL (2003) On generating functions. J Rajasthan Acad Phys Sci 2(3):173–180

    Google Scholar 

  9. Srivastava HM (1977) Certain generating functions of several variables. Z Angew Math Mech 57:339–340

    Article  Google Scholar 

  10. Srivastava HM, Özarslan MA, Kaanoğlu C (2010) Some families of generating functions for a certain class of three-variable polynomials. Integral Transform Spec Funct 21(12):885–896

    Article  Google Scholar 

  11. Chen MP, Srivastava HM (1995) Orthogonality relations and generating functions for Jacobi polynomials and related hypergeometric functions. Appl Math Comput 68:153–188

    Article  Google Scholar 

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Correspondence to P. Agarwal.

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Agarwal, P., Chand, M. & Purohit, S.D. A Note on Generating Functions Involving the Generalized Gauss Hypergeometric Functions. Natl. Acad. Sci. Lett. 37, 457–459 (2014). https://doi.org/10.1007/s40009-014-0250-7

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  • DOI: https://doi.org/10.1007/s40009-014-0250-7

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