Miscellanea

  • Árpád Baricz
  • Dragana Jankov Maširević
  • Tibor K. Pogány
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 2207)

Abstract

In this chapter we will present various results concerning Neumann, Kapteyn and Schlömilch series with members containing functions from the Bessel functions family (Bessel functions of the first and second kind, modified Bessel functions of the first and second kind, Struve functions, modified Struve functions etc.). In Sects. 5.7–5.9 we consider Dini series and Jacobi polynomials, respectively. Next section is devoted to summations of Schlömilch series which members contain some von Lommel functions of the first kind. Section 5.11 finishes this chapter with Neumann–Meijer G series results.

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Copyright information

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Authors and Affiliations

  • Árpád Baricz
    • 1
    • 2
  • Dragana Jankov Maširević
    • 3
  • Tibor K. Pogány
    • 1
    • 4
  1. 1.John von Neumann Faculty of Informatics, Institute of Applied MathematicsÓbuda UniversityBudapestHungary
  2. 2.Department of EconomicsBabeş–Bolyai UniversityCluj–NapocaRomania
  3. 3.Department of MathematicsJosip Juraj Strossmayer University of OsijekOsijekCroatia
  4. 4.Faculty of Maritime StudiesUniversity of RijekaRijekaCroatia

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