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Appell Polynomials and Asymptotic Expansions

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Abstract

Some properties of the Appell polynomials are studied and analyzed. Various formulas and expressions for the Appell quotient are derived and connection with asymptotic expansions is presented.

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References

  1. Burić T., Elezović N.: Bernoulli polynomials and asymptotic expansions of the quotient of gamma functions. J. Comput. Appl. Math. 235, 3315–3331 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  2. Burić T., Elezović N.: New asymptotic expansions of the gamma function and improvements of Stirling’s type formulas. J. Comput. Anal. Appl. 13, 785–795 (2011)

    MathSciNet  MATH  Google Scholar 

  3. Burić T., Elezović N.: New asymptotic expansions of the quotient of gamma functions. Integral Transform. Spec. Funct. 23, 355–368 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  4. Burić T., Elezović N., Šimić R.: Asymptotic expansions of the multiple quotients of gamma functions with applications. Math. Inequal. Appl. 16, 1159–1170 (2013)

    MathSciNet  MATH  Google Scholar 

  5. Burić T., Elezović N., Vukšić L.: Asymptotic expansions of the gamma function and Wallis function through polygamma functions. Integral Transform. Spec. Funct. 25, 163–172 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  6. Erdélyi A.: Asymptotic expansions. Dover Publications, New York (1956)

    MATH  Google Scholar 

  7. Luke Y.L.: The Special Functions and Their Approximations. vol. I. Academic Press, New York (1969)

    MATH  Google Scholar 

  8. Roman S.: The Umbral Calculus. Academic Press, Orlando (1984)

    MATH  Google Scholar 

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Authors and Affiliations

  1. Faculty of Electrical Engineering and Computing, University of Zagreb, Unska 3, 10000, Zagreb, Croatia

    Tomislav Burić, Neven Elezović & Lenka Vukšić

Authors
  1. Tomislav Burić
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  2. Neven Elezović
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  3. Lenka Vukšić
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Correspondence to Tomislav Burić.

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Burić, T., Elezović, N. & Vukšić, L. Appell Polynomials and Asymptotic Expansions. Mediterr. J. Math. 13, 899–912 (2016). https://doi.org/10.1007/s00009-015-0529-z

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  • DOI: https://doi.org/10.1007/s00009-015-0529-z

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