Results 31 to 40 of about 1,298,028 (310)
Multivariate Interpolation Functions of Higher-Order q-Euler Numbers and Their Applications
Abstract and Applied Analysis, 2008 The aim of this paper, firstly, is to construct generating functions of q-Euler numbers and polynomials of higher order by applying the fermionic p-adic q-Volkenborn integral, secondly, to define multivariate q-Euler zeta function (Barnes-type Hurwitz q ...
Hacer Ozden +2 more
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Special Numbers and Polynomials Including Their Generating Functions in Umbral Analysis Methods
Axioms, 2018 In this paper, by applying umbral calculus methods to generating functions for the combinatorial numbers and the Apostol type polynomials and numbers of order k, we derive some identities and relations including the combinatorial numbers, the Apostol ...
Yilmaz Simsek
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ON TWISTED GENERALIZED EULER NUMBERS [PDF]
Bulletin of the Korean Mathematical Society, 2004 Summary: In this paper, we construct generating function of twisted generalized Euler numbers \[ \frac{1-u}{e^t-u}\sum^\infty_{n=0}H^n(u)\frac{t^n}{n!}. \] By using this function, we define twisted generalized Euler polynomials and numbers. We give some basic properties of these polynomials and numbers.
openaire +1 more source
Euler Graph Transformations for Euler Diagram Layout [PDF]
, 2010 Euler diagrams are frequently used for visualizing information about collections of objects and form an important component of various visual languages.
Howse, John +7 more
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On the š¯‘˛-Euler Numbers and Polynomials with Weight 0
Abstract and Applied Analysis, 2012 The purpose of this paper is to investigate some properties of š¯‘˛-Euler numbers and polynomials with weight 0. From those š¯‘˛-Euler numbers with weight 0, we derive some identities on the š¯‘˛-Euler numbers and polynomials with weight 0.
T. Kim, J. Choi
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A Survey of Euler Diagrams [PDF]
, 2014 Euler diagrams visually represent containment, inpresstersection and exclusion using closed curves. They first appeared several hundred years ago, however, there has been a resurgence in Euler diagram research in the twenty-first century.
Rodgers, Peter
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Generating Functions for q-Apostol Type Frobeniusā€“Euler Numbers and Polynomials
Axioms, 2012 The aim of this paper is to construct generating functions, related to nonnegative real parameters, for q-Eulerian type polynomials and numbers (or q-Apostol type Frobeniusā€“Euler polynomials and numbers).
Yilmaz Simsek
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Embedding wellformed Euler diagrams [PDF]
, 2008 Euler diagrams are collections of labelled closed curves. They are often used to represent information about the relationship between sets and, as such, they have numerous applications including: visualizing biological data, diagrammatic logics, and ...
Andrew Fish +8 more
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New Approach to q-Euler Numbers and Polynomials
Advances in Difference Equations, 2010 We give a new construction of the q-extensions of Euler numbers and polynomials. We present new generating functions which are related to the q-Euler numbers and polynomials.
Seog-Hoon Rim +3 more
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Generating Euler Diagrams from Existing Layouts [PDF]
, 2008 Euler diagrams have a wide variety of uses, from information visualization to logical reasoning. In all of their application areas, the ability to automatically layout Euler diagrams brings considerable benefits.
Howse, John +7 more
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