Geodesic
Hurwitz continued fractions with confluent hypergeometric functions
Czechoslovak Mathematical Journal, Tome 57 (2007) no. 3, pp. 919-932.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Many new types of Hurwitz continued fractions have been studied by the author. In this paper we show that all of these closed forms can be expressed by using confluent hypergeometric functions ${}_0F_1(;c;z)$. In the application we study some new Hurwitz continued fractions whose closed form can be expressed by using confluent hypergeometric functions.
Classification : 11A55, 11J70, 33C10
Keywords: Hurwitz continued fractions 
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     author = {Komatsu, Takao},
     title = {Hurwitz continued fractions with confluent hypergeometric functions},
     journal = {Czechoslovak Mathematical Journal},
     pages = {919--932},
     publisher = {mathdoc},
     volume = {57},
     number = {3},
     year = {2007},
     mrnumber = {2356930},
     zbl = {1163.11009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2007__57_3_a10/}
}
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Komatsu, Takao. Hurwitz continued fractions with confluent hypergeometric functions. Czechoslovak Mathematical Journal, Tome 57 (2007) no. 3, pp. 919-932. http://geodesic.mathdoc.fr/item/CMJ_2007__57_3_a10/