An upper bound for the zeros of the cylinder function Cv(x)

Mathematical Inequalities and Applications

Volumn 1, Issue 1, 1998, Pages 105-111

  Elbert, Árpád ^a   Laforgia, Andrea ^b  

^a ALFRÉD RÉNYI INSTITUTE OF MATHEMATICS   (Hungary)

^b ROMA TRE UNIVERSITY   (Italy)

Author keywords

Asymptotic expansions; Cylinder functions; Zeros

Indexed keywords

EID: 0041069840     PISSN: 13314343     EISSN: None     Source Type: Journal    
DOI: 10.7153/mia-01-08     Document Type: Article

References (7)

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2. Á. ELBERT AND A. LAFORGIA, A lower bound for the zeros of the Bessel functions. World. Sci. Ser. Appl. Anal. 3 (1994), 179-185.
3. _, Asymptotic expansions for zeros of Bessel functions and of their derivatives for large order, Rendiconti del Seminario Matematico e Fisico dell' Università di Modena, to appear.
4. _, On the square of the zeros of Bessel functions, SIAM J. Math. Anal. 15 (1984), 206-212.
5. v(x): the infinite case, J. Comput. Appl. Math. 71 (1996), 311-329.
6. L. LORCH AND R. UBERTI, "Best possible" upper bounds for the first positive zeros of Bessel functions - the finite part, J. Comput. Appl. Math. 75 (1996), 249-258.
7. G. N. WATSON, A treatise on the theory of Bessel functions, 2nd. ed., Cambridge University Press, London and New York, 1944.