Modified Dini functions: monotonicity patterns and functional inequalities
  • Metaadatok
Tartalom: http://real.mtak.hu/39792/
Archívum: MTA Könyvtár
Gyűjtemény: Status = Published


Type = Article
Cím:
Modified Dini functions: monotonicity patterns and functional inequalities
Létrehozó:
Baricz, Árpåd
Ponnusamy, Saminathan
Singh, Sanjeev
Kiadó:
Springer Verlag (Germany), AkadĂŠmiai KiadĂł Hungary
Dátum:
2016-02-31
Téma:
QA Mathematics / matematika
QA74 Analysis / analĂ­zis
Tartalmi leírás:
We deduce some new functional inequalities, like Turan type inequalities, Redheffer type inequalities, and a Mittag-Leffler expansion for a special combination of modified Bessel functions of the first kind, called modified Dini functions. Moreover, we show the complete monotonicity of a quotient of modified Dini functions by involving a new continuous infinitely divisible probability distribution. The key tool in our proofs is a recently developed infinite product representation for a special combination of Bessel functions of the first kind, which was very useful in determining the radius of convexity of some normalized Bessel functions of the first kind.
Nyelv:
angol
Típus:
Article
PeerReviewed
info:eu-repo/semantics/article
Formátum:
text
Azonosító:
Baricz, Árpåd and Ponnusamy, Saminathan and Singh, Sanjeev (2016) Modified Dini functions: monotonicity patterns and functional inequalities. ACTA MATHEMATICA HUNGARICA, 149 (1). pp. 120-142. ISSN 0236-5294
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