Generalized Bessel Functions and Generalized Hermite Polynomials
نویسندگان
چکیده
منابع مشابه
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Mohammad Masjed-Jamei c a, Wolfram Koepf b a Department of Mathematics, K.N.Toosi University of Technology, P.O.Box 16315-1618, Tehran, Iran, E-mail: [email protected] , [email protected] b Institute of Mathematics, University of Kassel, Heinrich-Plett-Str. 40, D-34132 Kassel, Germany, E-mail: [email protected] c School of Mathematics, Institute for Research in Fundamental Science...
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Let up denote the normalized, generalized Bessel function of order p which depends on two parameters b and c and let λp(x) = up(x), x ≥ 0. It is proven that under some conditions imposed on p, b, and c the Askey inequality holds true for the function λp , i.e., that λp(x) +λp(y) ≤ 1 +λp(z), where x, y ≥ 0 and z = x + y. The lower and upper bounds for the function λp are also established.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1993
ISSN: 0022-247X
DOI: 10.1006/jmaa.1993.1321