Cross-product of Bessel functions: monotonicity patterns and functional inequalities
  • Metaadatok
Tartalom: http://real.mtak.hu/39793/
Archívum: MTA Könyvtár
Gyűjtemény: Status = In Press


Type = Article
Cím:
Cross-product of Bessel functions: monotonicity patterns and functional inequalities
Létrehozó:
Baricz, Árpåd
Ponnusamy, Saminathan
Singh, Sanjeev
Kiadó:
Springer
Dátum:
2015-12-03
Téma:
QA Mathematics / matematika
QA74 Analysis / analĂ­zis
Tartalmi leírás:
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 of these 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.
Nyelv:
angol
Típus:
Article
NonPeerReviewed
info:eu-repo/semantics/article
Formátum:
text
Azonosító:
Baricz, Árpåd and Ponnusamy, Saminathan and Singh, Sanjeev (2015) Cross-product of Bessel functions: monotonicity patterns and functional inequalities. Proceedings of the Indian Academy of Sciences- Mathematical Sciences. pp. 1-19. ISSN 0253-4142 (In Press)
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