Euler-Seidel method for certain combinatorial numbers and a new characterization of Fibonacci sequence
István Mező ; Ayhan Dil
Open Mathematics, Tome 7 (2009), p. 310-321 / Harvested from The Polish Digital Mathematics Library
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In this paper we use the Euler-Seidel method for deriving new identities for hyperharmonic and r-Stirling numbers. The exponential generating function is determined for hyperharmonic numbers, which result is a generalization of Gosper’s identity. A classification of second order recurrence sequences is also given with the help of this method.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:269683 
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     author = {Istv\'an Mez\H o and Ayhan Dil},
     title = {Euler-Seidel method for certain combinatorial numbers and a new characterization of Fibonacci sequence},
     journal = {Open Mathematics},
     volume = {7},
     year = {2009},
     pages = {310-321},
     zbl = {1229.11043},
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István Mező; Ayhan Dil. Euler-Seidel method for certain combinatorial numbers and a new characterization of Fibonacci sequence. Open Mathematics, Tome 7 (2009) pp. 310-321. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-009-0008-5/

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