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    • Keywords

       

      Functional inequalities; Bessel functions; cross-product of Bessel functions; interlacing of zeros of Bessel and related functions; Redheffer-type inequalities; infinite product representation; absolutely monotonic and log-concave functions

    • Abstract

       

      In this paper, we study the Dini functions and the cross-product of Bessel functions. Moreover, we are interested on the monotonicity patterns for the cross-product of Bessel and modified Bessel functions. In addition, we deduce Redheffer-type inequalities, and the interlacing property of the zeros of Dini functions and the cross-product of Bessel and modified Bessel functions. Bounds for logarithmic derivatives ofthese functions are also derived. The key tools in our proofs are some recently developed infinite product representations for Dini functions and cross-product of Bessel functions.

    • Author Affiliations

       

      ÁRPÁD BARICZ1 2 SAMINATHAN PONNUSAMY3 SANJEEV SINGH4

      1. Institute of Applied Mathematics, Óbuda University, Budapest 1034, Hungary
      2. Department of Economics, Babe¸s-Bolyai University, Cluj-Napoca 400591, Romania
      3. Department of Mathematics, Indian Institute of Technology Madras, Chennai 600 036, India
      4. Discipline of Mathematics, Indian Institute of Technology Indore, Indore 453 552, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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