Properties of the Appell–Lerch function (I)

A number of equations involving the Appell–Lerch function, μ , are derived. Emphasis is placed on equations which are analogous to certain linear relations which exist between theta functions, as well as equations which make explicit the symmetry μ ( x , y ) = μ ( y , x ) . Two classical formulae wh...

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Vydané v:	The Ramanujan journal Ročník 57; číslo 1; s. 291 - 367
Hlavný autor:	Bradley-Thrush, J. G.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New York Springer US 01.01.2022 Springer Nature B.V
Predmet:	Combinatorics Field Theory and Polynomials Fourier Analysis Functions of a Complex Variable Mathematical analysis Mathematics Mathematics and Statistics Number Theory Series expansion 11F27 Basic hypergeometric functions 33D65 Theta functions 11B65 30D05 Appell–Lerch series 33D15
ISSN:	1382-4090, 1572-9303
On-line prístup:	Získať plný text
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