APPLICATION OF A SPECIAL POLYNOMIAL TO AN ENTROPICOGENETIC CODING

2020 ◽  
Vol 9 (12) ◽  
pp. 11109-11125
Author(s):  
H. S. G. Ravelonirina ◽  
J. J. Rakoto ◽  
H. M. Razakasoa
Keyword(s):  
Special Polynomial

Combinatorial Property of a Special Polynomial Sequence

1977 ◽  
Vol 20 (2) ◽  
pp. 183-188 ◽  
Author(s):  
L. Carlitz
Keyword(s):  
Combinatorial Property ◽  
Polynomial Sequence ◽  
Special Polynomial ◽  
Image Position

Leeming [4] has defined a sequence of polynomials {Q4n(x)} and a sequence of integers {Q4n} by means of1and2Thus3Leeming showed that the Q4n are all odd and that4It is proved in [3] that5

A convolution involving Bell polynomials

1973 ◽  
Vol 74 (1) ◽  
pp. 97-106 ◽  
Author(s):  
G. P. M. Heselden
Keyword(s):  
Bell Polynomials ◽  
Special Polynomial ◽  
Convolution Formula

AbstractA convolution formula is established for Bell polynomials. This is expressed in seven equivalent ways and used to derive further properties of these polynomials. The application of these results to some twenty-seven special polynomial sets is shown and illustrated in the case of binomial, Hermite, Gegenbauer and generalized Bernoulli sets.

scholarly journals Miscellaneous Properties of the Gamma Distribution Polynomials

2019 ◽  
Author(s):  
Ugur Duran ◽  
Mehmet Acikgoz
Keyword(s):  
Integral Representation ◽  
Explicit Formula ◽  
Gamma Distribution ◽  
Generating Functions ◽  
Euler Polynomials ◽  
Addition Formula ◽  
Special Polynomial

The main aim of this paper is to investigate multifarious properties and relations for the gamma distribution. The approach to reach this purpose will be introducing a special polynomial including gamma distribution. Several formulas covering addition formula, derivative property, integral representation and explicit formula are derived by means of the series manipulation method. Furthermore, two correlations including Bernoulli and Euler polynomials for gamma distribution polynomials are provided by utilizing of their generating functions.

scholarly journals General-Appell Polynomials within the Context of Monomiality Principle

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Subuhi Khan ◽  
Nusrat Raza
Keyword(s):  
Differential Equation ◽  
Generating Function ◽  
General Class ◽  
Recurrence Relations ◽  
Appell Polynomials ◽  
Special Polynomials ◽  
New Family ◽  
Special Polynomial

A general class of the 2-variable polynomials is considered, and its properties are derived. Further, these polynomials are used to introduce the 2-variable general-Appell polynomials (2VgAP). The generating function for the 2VgAP is derived, and a correspondence between these polynomials and the Appell polynomials is established. The differential equation, recurrence relations, and other properties for the 2VgAP are obtained within the context of the monomiality principle. This paper is the first attempt in the direction of introducing a new family of special polynomials, which includes many other new special polynomial families as its particular cases.

scholarly journals Applications of a special polynomial class of TSP

2005 ◽  
Vol 15 (1) ◽  
pp. 5-14
Author(s):  
Jack Brimberg ◽  
Ephraim Korach ◽  
Mokhtar Amami
Keyword(s):  
General Problem ◽  
Special Class ◽  
Np Hard ◽  
Special Polynomial ◽  
Polynomial Class

A hypothetical problem which we call a "buried treasure problem" is presented where the objective is to locate m objects among N fixed equi-spaced caches in order to minimize a measure of the risk of loss. The general problem is shown to be NP-hard. However, a sub problem may be solved as a special class of TSP in O (N log N) time. Several applications are noted.

scholarly journals Matrix Representations of a Special Polynomial Sequence in Arbitrary Dimension

2012 ◽  
Vol 12 (2) ◽  
pp. 371-391 ◽  
Author(s):  
Isabel Cação ◽  
Maria Irene Falcão ◽  
Helmuth R. Malonek
Keyword(s):  
Arbitrary Dimension ◽  
Matrix Representations ◽  
Polynomial Sequence ◽  
Special Polynomial
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