Results 71 to 80 of about 6,635 (118)
A Q-derived polynomial is a univariate polynomial, defined overthe rationals, with the property that its zeros, and those of allits derivatives are rational numbers. There is a conjecture thatsays that Q-derived polynomials of degree 4 with distinctroots
Stroeker, R.J.
core
Laguerre-type general-Appell polynomials
<p>In this paper, new and general form of Laguerre-type Appell polynomials are introduced by using the Laguerre-type exponential function. For this new polynomial family, we present explicit representation, recurrence relation, lowering and raising
Ozat, Zeynep +2 more
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Investigating 2-iterated degenerate 2D Appell polynomials and their diverse applications
This research delves into the realm of special polynomials, emphasizing the integration of the monomiality principle alongside operational rules and related properties.
Wani, Shahid Ahmad +3 more
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Properties of Partially Degenerate Complex Appell Polynomials
, 2019 Degenerate versions of polynomial sequences have been recently studied to obtain useful properties such as symmetric identities by introducing degenerate exponential-type generating functions.
Sangil Kim, Dojin Kim
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Some identities involving appell polynomials
, 2020 In this paper, by the classical umbral calculus method, we establishidentities involving the Appell polynomials and extend some existing identities.Mathematics Subject Classication (2010): 05A40, 11B68, 70H03.Key words: Classical umbral calculus, Appell ...
Taharbouchet, Said, Mihoubi, Miloud
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Matrix approach to hypercomplex Appell polynomials
, 2016 Recently the authors presented a matrix representation approach to real Appell polynomials essentially determined by a nilpotent matrix with natural number entries.
Tomaz, Graça +6 more
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THE POWER COLLECTION METHOD FOR CONNECTION RELATIONS: MEIXNER POLYNOMIALS. [PDF]
J Class Anal, 2017 Baeder MA +3 more
europepmc +1 more source
On orthogonal polynomials and related discrete integrable systems [PDF]
, 2006 Orthogonal polynomials arise in many areas of mathematics and have been the subject of interest by many mathematicians. In recent years this interest has often arisen from outside the orthogonal polynomial community after their connection with ...
Spicer, Paul Edward
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A determinantal approach to Appell polynomials
, 2010 A new definition by means of a determinantal form for Appell (1880) [1] polynomials is given. General properties, some of them new, are proved by using elementary linear algebra tools.
Longo, E., Costabile, F.A.
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A note on some identities of derangement polynomials. [PDF]
J Inequal Appl, 2018 Kim T, Kim DS, Jang GW, Kwon J.
europepmc +1 more source