On the Summation of Series Involving Bessel or Struve Functions

Journal of Mathematical Analysis and Applications - Tập 247 - Trang 15-26 - 2000
Miomir S. Stanković1, Mirjana V. Vidanović1, Slobodan B. Tričković2
1Department of Mathematics, Faculty of Occupational Safety, University of Nis̆, Čarnojevića 10a, 18000, Nis̆, Yugoslavia
2Department of Mathematics, Faculty of Civil Engineering, University of Nis̆, Beogradska 14, 18000, Nis̆, Yugoslavia

Tài liệu tham khảo

Abramowitz, 1972 Askey, 1975 Berkesh, 1955, Einige Formeln über unendlichen Reihen Besselsher Funktionen, Glasnik Mat. Fiz. Astr., 10, 161 Berndt, 1972, The evaluation of character series by contour integration, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz., 386, 25 Fettis, 1984, A summation of Bessel functions—problem 84-18, SIAM Rev., 26, 430, 10.1137/1026083 Glasser, 1973, The evaluation of lattice sums. I. Analytic procedure, J. Math. Phys., 14, 409, 10.1063/1.1666331 Gradshtein, 1971 Hansen, 1985, Solution of the problem 84-18, SIAM Rev., 27, 455, 10.1137/1027122 Lorch, 1987, Closed expressions for some infinite series of Bessel and Struve functions, J. Math. Anal. Appl., 122, 47, 10.1016/0022-247X(87)90343-X Mitrinović, 1980 Petković, 1986, Infinite sums of Bessel functions, problem 85-14, solution by M. L. Glasser, SIAM Rev., 28, 402, 10.1137/1028118 Prudnikov, 1981 Prudnikov, 1983 Slavić, 1969, On summation of trigonometric series, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz., 263, 103 Stanković, 1981, O sumiranju nekih redova pomoću Riemannovih zeta funkcija, Informatica '81, Ljubljana, 3, 106 Stanković, 1986, Short table of summable series of Bessel functions, 147 Stanković, 1988, Closed form expressions for some series involving Bessel functions of the first kind, 379 Watson, 1958 Zaezdnyi, 1972