Generalized Bessel functions of the first kind
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Generalized Bessel functions of the first kind

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Published by Springer in Heidelberg, New York .
Written in English

Subjects:

  • Hypergeometric functions,
  • Inequalities (Mathematics),
  • Bessel functions,
  • Geometric function theory,
  • Bessel-Funktionen

Book details:

Edition Notes

Includes bibliographical references and index.

StatementÁrpád Baricz
SeriesLecture notes in mathematics -- 1994
Classifications
LC ClassificationsQA408 .B275 2010
The Physical Object
Paginationxiv, 206 p. :
Number of Pages206
ID Numbers
Open LibraryOL25321429M
ISBN 103642122299, 3642122302
ISBN 109783642122293, 9783642122309
LC Control Number2010926688
OCLC/WorldCa641540886

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In this volume we study the generalized Bessel functions of the first kind by using a number of classical and new findings in complex and classical analysis. Our aim is to present interesting geometric properties and functional inequalities for these generalized Bessel functions. Moreover, we extend many known inequalities involving circular and hyperbolic functions to Bessel and modified Bessel functions. In this volume we study the generalized Bessel functions of the first kind by using a number of classical and new findings in complex and classical analysis. Our aim is to present interesting geometric properties and functional inequalities for these generalized Bessel functions. This volume studies the generalized Bessel functions of the first kind by using a number of classical and new findings in complex and classical analysis. It presents interesting geometric properties and functional inequalities for these generalized functions. The purpose of the present paper is to investigate some characterization for generalized Bessel functions of first kind to be in the new subclasses of β uniformly starlike and β uniformly convex functions of order α. Further we point out consequences of our main results.

Bessel Functions a) First Kind: J ν (x) in the solution to Bessel’s equation is referred to as a Bessel function of the first Size: KB. 2. Bessel Functions a) First Kind: (x) in the solution to Bessel’s equation is referred to as a Bessel function of the first kind. b) Second Kind: (x) in the solution to Bessel’s equation is referred to as a Bessel function of the second kind or sometimes the Weber function or the Neumann function. BesselJ[n, z] gives the Bessel function of the first kind Jn (z). The purpose of the present paper is to investigate some characterization for generalized Bessel functions of first kind to be in the new subclasses of β uniformly starlike and β uniformly convex.

is known as the Bessel function of the first kind of order ν. The formula is valid providing ν -1, -2, -3,.. Γ(ν) is the gamma function. Numerical calculations of the generalized Bessel of the first kind pdf and cdf vs. Generalized Bessel of the second kind: (a) original pdf and cdf; (b) exponentiated pdf and cdf for í µí»¼ Author: Ilir Progri. Bessel functions, first defined by the mathematician Daniel Bernoulli and then generalized by Friedrich Bessel, are canonical solutions y(x) of Bessel's differential equation + + (−) = for an arbitrary complex number α, the order of the Bessel function. Although α and −α produce the same differential equation, it is conventional to define different Bessel functions for these two values. All four Bessel functions,,, and are defined for all complex values of the parameter and variable, and they are analytical functions of and over the whole complex ‐ and ‐planes.. For fixed, the functions,,, and have an essential singularity the same time, the point is a branch point (except in the case of integer for the two functions).