Results 111 to 120 of about 147 (140)

On Bernstein's inequality for ultraspherical polynomials

Archiv der Mathematik, 1997
The author offers a proof for \[ (\sin t)^{s}| P_{n}^{(s)}(\cos t)| < \frac{ 2^{1-s}}{\Gamma(s)} \frac{ \Gamma(n+(3s/2))}{\Gamma(n+1+(s/2))}, \] where ...
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Application of Ultraspherical Polynomials to Nonlinear Forced Oscillations

Journal of Applied Mechanics, 1967
Approximate solutions to the conservative free-oscillation problem were obtained recently [1–4] through the use of ultraspherical polynomials. The present paper extends the technique to forced oscillations governed by x¨+g(x)˙+f(x)=F0sinpt+F1 Very accurate results are obtained either by setting the ultraspherical polynomial index λ = 0 or, better yet ...
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Characterizations of ultraspherical polynomials and their $q$-analogues

Proceedings of the American Mathematical Society, 2015
The author studies some properties that characterize the ultraspherical polynomials and two of their \(q\)-analogues, namely the symmetric big \(q\)-Jacobi polynomials and the continuous \(q\)-ultraspherical (Roger) polynomials. In fact he improved some previous results by \textit{R. Lasser} and \textit{J. Obermaier} [Proc. Am. Math. Soc. 136, No.
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Inequalities for Ultraspherical and Laguerre Polynomials

SIAM Journal on Mathematical Analysis, 1979
Bustoz, J., Savage, N.
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Integral Representations for Ultraspherical Polynomials

Journal of the London Mathematical Society, 1972
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Product of Ultraspherical Polynomials

The American Mathematical Monthly, 1967
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On Positive Harmonic Functions and Ultraspherical Polynomials†

Journal of the London Mathematical Society, 1951
Seidel, W., Szász, Otto
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Jensen polynomials for the Riemann zeta function and other sequences

Proceedings of the National Academy of Sciences of the United States of America, 2019
Larry G Rolen
exaly  

Some generalizations of the Apostol–Genocchi polynomials and the Stirling numbers of the second kind

Applied Mathematics and Computation, 2011
Qiu-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, 2011
Satoru Odake
exaly