Results 111 to 120 of about 1,811 (151)

A re-expansion method for determining the acoustical impedance and the scattering matrix for the waveguide discontinuity problem. [PDF]

J Acoust Soc Am, 2010
Homentcovschi D, Miles RN.
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Combinatorics of traces of Hecke operators. [PDF]

Proc Natl Acad Sci U S A, 2004
Frechette S, Ono K, Papanikolas M.
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MULTIVARIATE ANALYSIS AND JACOBI ENSEMBLES: LARGEST EIGENVALUE, TRACY-WIDOM LIMITS AND RATES OF CONVERGENCE. [PDF]

Ann Stat, 2008
Johnstone IM.
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Some bilinear generating functions. [PDF]

Proc Natl Acad Sci U S A, 1969
Srivastava HM.
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Some identities and inequalities involving ultraspherical polynomials

Duke Mathematical Journal, 1959
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Some polynomials related to the ultraspherical polynomials

Collectanea Mathematica, 1961
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A bilateral generating function for the ultraspherical polynomials [PDF]

Pacific Journal of Mathematics, 1969
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Low-Pass Filters Using Ultraspherical Polynomials

IEEE Transactions on Circuit Theory, 1966
The problem of approximating the ideal normalized amplitude response of a low-pass filter by the use of a set of ultraspherical polynomials is considered. The amplitude response obtained is more general than the analogous response of the Chebyshev filter because of an additional parameter available with the ultraspherical polynomials.
D. Johnson, J. Johnson
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Turán Inequalities for Ultraspherical and Continuous q-Ultraspherical Polynomials

SIAM Journal on Mathematical Analysis, 1983
Paul Turan discovered that Legendre polynomials satisfy the inequality \[ P_n^2 - P_{n + 1} P_{n - 1} > 0\quad {\text{for }} - 1 0,\quad 0 < x < 1,\quad \frac{1}{2} < a \leq \beta \leq \alpha + 1.\]
Bustoz, Joaquin, Ismail, Mourad E. H.
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Some Characterizations of the Ultraspherical Polynomials

Canadian Mathematical Bulletin, 1968
Let be the nth ultraspherical polynomial. Also let . The following generating relation is well known (3, p.98).It can also be written as1.1This suggests the consideration of the class of polynomial sets {Qn(x), n = 0, 1, 2,…}, Qn(x) is of exact degree n and1 ...
Al-Salam, N. A., Al-Salam, W. A.
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