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Arithmetic Means for a Class of Functions and the Modified Bessel Functions of the First Kind

Author

Listed:
  • Feng Qi

    (School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, Henan, China
    College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043, Inner Mongolia, China
    School of Mathematical Sciences, Tianjin Polytechnic University, Tianjin 300387, China)

  • Shao-Wen Yao

    (School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, Henan, China)

  • Bai-Ni Guo

    (School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, Henan, China)

Abstract

In the paper, by virtue of the residue theorem in the theory of complex functions, the authors establish several identities between arithmetic means for a class of functions and the modified Bessel functions of the first kind, present several identities between arithmetic means for a class of functions and infinite series, and find several series expressions for the modified Bessel functions of the first kind.

Suggested Citation

  • Feng Qi & Shao-Wen Yao & Bai-Ni Guo, 2019. "Arithmetic Means for a Class of Functions and the Modified Bessel Functions of the First Kind," Mathematics, MDPI, vol. 7(1), pages 1-14, January.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:1:p:60-:d:195873
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