New indefinite integrals of Heun functions
نویسندگان
چکیده
منابع مشابه
Normalization integrals of orthogonal Heun functions
A formula for evaluating the quadratic normalization integrals of orthogonal Heun functions over the real interval 0 ≤ x ≤ 1 is derived using a simple limiting procedure based upon the associated differential equation. The resulting expression gives the value of the normalization integral explicitly in terms of the local power-series solutions about x = 0 and x = 1 and their derivatives. This p...
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1. G. H. Hardy and M. Riesz, The general theory of Dirichlet's series, London, 1915. 2. E. Kogbetliantz, Sur la sommation des séries divergentes par les moyennes simples et doubles, Ann. École Norm. (3) vol. 42 (1925) pp. 193-216. 3. Otto Szász, Verallgemeinerung eines Littlewood'sehen Salzes über Potenzreihen, J. London Math. Soc. vol. 3 (1928) pp. 254-262. 4. A. Zygmund, Remarque sur la somma...
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ژورنال
عنوان ژورنال: Integral Transforms and Special Functions
سال: 2018
ISSN: 1065-2469,1476-8291
DOI: 10.1080/10652469.2018.1499021