Trigonometric summations over the angles equally divided on the upper half plane are investigated systematically. Their generating functions are established by expansions of trigonometric polynomials in partial fractions. The explicit formulas are displayed and their proofs are presented in brief through the formal power series method. (C) 1999 Academic Press.
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Univ Illinois, Dept Math, 1409 West Green St, Urbana, IL 61801 USAUniv Illinois, Dept Math, 1409 West Green St, Urbana, IL 61801 USA
Berndt, Bruce C.
Fassina, Martino
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Univ Wien, Fak Math, Oskar Morgenstern Pl 1, A-1090 Vienna, AustriaUniv Illinois, Dept Math, 1409 West Green St, Urbana, IL 61801 USA
Fassina, Martino
Kim, Sun
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Jeonbuk Natl Univ, Dept Math, 567 Baekje Daero, Jeonju 54896, Jeollabuk Do, South Korea
Jeonbuk Natl Univ, Inst Pure & Appl Math, 567 Baekje Daero, Jeonju 54896, Jeollabuk Do, South KoreaUniv Illinois, Dept Math, 1409 West Green St, Urbana, IL 61801 USA
Kim, Sun
Zaharescu, Alexandru
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Univ Illinois, Dept Math, 1409 West Green St, Urbana, IL 61801 USA
Romanian Acad, Inst Math, POB 1-764, RO-70700 Bucharest, RomaniaUniv Illinois, Dept Math, 1409 West Green St, Urbana, IL 61801 USA