Some results for generalized harmonic numbers.
Feng, Congjiao, Zhao, Fengzhen (2009)
Integers
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Displaying similar documents to “Exponential generating function of hyperharmonic numbers indexed by arithmetic progressions”
Some results for generalized harmonic numbers.
Integrals and polygamma representations for binomial sums.
Sofo, Anthony (2010)
Journal of Integer Sequences [electronic only]
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Sums of reciprocals of the central binomial coefficients.
Sprugnoli, Renzo (2006)
Integers
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Extended Bell and Stirling numbers from hypergeometric exponentiation.
Sixdeniers, J.-M., Penson, K.A., Solomon, A.I. (2001)
Journal of Integer Sequences [electronic only]
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Apéry's double sum is plain sailing indeed.
Schneider, Carsten (2007)
The Electronic Journal of Combinatorics [electronic only]
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Euler-Seidel method for certain combinatorial numbers and a new characterization of Fibonacci sequence
István Mező, Ayhan Dil (2009)
Open Mathematics
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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.
An invariant sum related to record statistics.
Lengyel, Tamás (2007)
Integers
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Integrals of logarithmic and hypergeometric functions
Anthony Sofo (2016)
Communications in Mathematics
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Integrals of logarithmic and hypergeometric functions are intrinsically connected with Euler sums. In this paper we explore many relations and explicitly derive closed form representations of integrals of logarithmic, hypergeometric functions and the Lerch phi transcendent in terms of zeta functions and sums of alternating harmonic numbers.
Integer powers of arcsin.
Borwein, Jonathan M., Chamberland, Marc (2007)
International Journal of Mathematics and Mathematical Sciences
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Generating functions via Hankel and Stieltjes matrices.
Peart, Paul, Woan, Wen-Jin (2000)
Journal of Integer Sequences [electronic only]
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On a new family of generalized Stirling and Bell numbers.
Mansour, Toufik, Schork, Matthias, Shattuck, Mark (2011)
The Electronic Journal of Combinatorics [electronic only]
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Converting between generalized Bell, Lah, Stirling, and Tanh numbers.
Della Riccia, Giacomo (2006)
Journal of Integer Sequences [electronic only]
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