PROPERTIES OF THE ZEROS OF THE CLASSICAL POLYNOMIALS AND OF THE BESSEL FUNCTIONS

被引:83
作者
AHMED, S
BRUSCHI, M
CALOGERO, F
OLSHANETSKY, MA
PERELOMOV, AM
机构
[1] NATL INST NUCL PHYS,ROME,ITALY
[2] MOSCOW THEORET & EXPTL PHYS INST,MOSCOW,USSR
来源
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS | 1979年 / 49卷 / 02期
关键词
D O I
10.1007/BF02737517
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Many algebraic equations satisfied by the zeros of the classical polynomials and of the Bessel functions are reported. Some of them are collected from recent papers; several of them are new; most of them display remarkable diophantine features. Certain matrices constructed with arbitrary numbers rather than the zeros of special functions, but displaying analogous diophantine properties, are also exhibited. © 1979 Società Italiana di Fisica.
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收藏
页码:173 / 199
页数:27
相关论文
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