FAQ

Falling and rising factorials

Known as: Lower factorial, Product of four consecutive integer, Upper factorial 
In mathematics, the falling factorial (sometimes called the "descending factorial", "falling sequential product", "lower factorial") is defined: The… (More)
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Topic mentions per year

Topic mentions per year

1998-2017
02419982017

Related topics

Related topics

6 relations
Binomial typeFinite differencePolynomialPolynomial ring
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Related mentions per year

Related mentions per year

1940-2018
19401960198020002020
Falling and rising factorials
Polynomial
Finite difference
Polynomial ring
Umbral calculus
Binomial type

Papers overview

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2016
2016
Economic valuation of heat pumps and electric boilers in the Danish energy system
Heat pumps (HP) and electric immersion boilers (EB) have great potential to increase flexibility in energy systems. In parallel… (More)
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2013
2013
On the k-Riemann-Liouville Fractional Derivative
  • Luis Guillermo Romero, Luciano L. Luque, Gustavo Abel Dorrego, Rubén A. Cerutti, R. A. Cerutti
  • 2013
Since the k-Gamma function and the k-Pochhammer symbol introduced by Diaz y Pariguan (cf. [2])the fractional calculus has been… (More)
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2009
2009
Exponential functional of a new family of Lévy processes and self-similar continuous state branching processes with immigration
We first introduce and derive some basic properties of a two-parameters (α, γ ) family of one-sided Lévy processes, with 1… (More)
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2009
2009
Gauss’ hypergeometric function
We give a basic introduction to the properties of Gauss’ hypergeometric functions, with an emphasis on the determination of the… (More)
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2008
2008
q,k-generalized gamma and beta functions
  • Rafael Dı́az
  • 2008
We introduce the q,k-generalized Pochhammer symbol. We construct Γq,k and Bq,k, the q,k-generalized gamma and beta fuctions, and… (More)
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2008
2008
On hypergeometric functions and k-Pochhammer symbol
  • Rafael Dı́az
  • 2008
We introduce the k-generalized gamma function Γk, beta function Bk, and Pochhammer k-symbol (x)n,k. We prove several identities… (More)
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2008
2008
On hypergeometric functions and Pochhammer k-symbol
  • Rafael Dı́az
  • 2008
We introduce the k-generalized gamma function Γk, beta function Bk, and Pochhammer k-symbol (x)n,k. We prove several identities… (More)
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2004
2004
A series representation for the Riemann Zeta derived from the Gauss-Kuzmin-Wirsing Operator
A series representation for the Riemann zeta function in terms of the falling Pochhammer symbol is derived from the polynomial… (More)
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2003
2003
The finite group of the Kummer solutions
In this short communication, which is self-contained, we show that the set of 24 Kummer solutions of the classical hypergeometric… (More)
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2000
2000
Some combinatorial series identities associated with the Digamma function and harmonic numbers
K e y w o r d s D i g a m m a (or Psi) function, Harmonic numbers, Gamma function, Combinatorial (or binomial) coefficients… (More)
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