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International Journal of Electronics, 2011
A new original formulation of all pole low-pass filter functions is proposed in this article. The starting point in solving the approximation problem is a direct application of the Christoffel-Darboux formula for the set of orthogonal polynomials, including Gegenbauer orthogonal polynomials in the finite interval [−1, +1] with the application of a ...
Aleksandar D. Ilić +1 more
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A new original formulation of all pole low-pass filter functions is proposed in this article. The starting point in solving the approximation problem is a direct application of the Christoffel-Darboux formula for the set of orthogonal polynomials, including Gegenbauer orthogonal polynomials in the finite interval [−1, +1] with the application of a ...
Aleksandar D. Ilić +1 more
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Proceedings 1995 Canadian Conference on Electrical and Computer Engineering, 2002
Gegenbauer polynomials are very suitable for approximation of low-pass and bandpass finite filter functions in the time domain. The presented class of functions is characterized by a grid and an interdependence of two polynomial parameters, offering great flexibility in the choice of the filter characteristic.
A. Saed, J.J. Soltis, M. Ahmadi
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Gegenbauer polynomials are very suitable for approximation of low-pass and bandpass finite filter functions in the time domain. The presented class of functions is characterized by a grid and an interdependence of two polynomial parameters, offering great flexibility in the choice of the filter characteristic.
A. Saed, J.J. Soltis, M. Ahmadi
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South East Asian Journal of Mathematics and Mathematical Sciences
In this article, we investigate a three classes of generalized mixed type double Bernoulli-Gegenbauer-Gould and Hopper (BGG-H) polynomials. Some special polynomials of the generalized mixed type Bernoulli-Gegenbauer polynomials are discussed to obtain certain results and relations of our double (BGG-H) polynomials in terms of known and unknown ...
M. A. Pathan, Hemant Kumar
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In this article, we investigate a three classes of generalized mixed type double Bernoulli-Gegenbauer-Gould and Hopper (BGG-H) polynomials. Some special polynomials of the generalized mixed type Bernoulli-Gegenbauer polynomials are discussed to obtain certain results and relations of our double (BGG-H) polynomials in terms of known and unknown ...
M. A. Pathan, Hemant Kumar
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Generating functions for gegenbauer and legendre polynomials
Proceedings of the Indian Academy of Sciences - Section A, 1965openaire +1 more source
Jensen polynomials for the Riemann zeta function and other sequences
Proceedings of the National Academy of Sciences of the United States of America, 2019Larry G Rolen
exaly
Some generalizations of the Apostol–Genocchi polynomials and the Stirling numbers of the second kind
Applied Mathematics and Computation, 2011Qiu-Ming Luo
exaly
Exactly solvable quantum mechanics and infinite families of multi-indexed orthogonal polynomials
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 2011Satoru Odake
exaly