Results 61 to 70 of about 700 (183)
Journal of Inequalities and ApplicationsThis study presents an extensive generalization of Legendre–Laguerre polynomials along with their Appell-type counterparts. Using the quasi-monomiality approach, we establish core analytical features, including recurrence relations, associated ...
Waseem Ahmad Khan +4 more
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DIFFERENTIAL EQUATIONS OF THE FOURTH ORDER WITH ORTHOGONAL POLYNOMIAL SOLUTIONS
Pesquimat, 2014 In this paper we developed conditions for orthogonality of polynomial Solutions of the fourth order differential equations with polynomial coefficients.
Santiago César Rojas Romero
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Diffractive Optical Neural Networks: Pathways Toward Intelligent and Scalable Photonic Computing
Nanophotonics, Volume 15, Issue 8, 24 April 2026.Diffractive optical neural networks (DONNs) are emerging as a transformative paradigm for photonic computing, offering massive parallelism, ultrafast inference, and passive low‐power operation. This review traces the evolution of DONNs from free‐space to on‐chip implementations, highlights advances in reconfigurability and multidimensional modulation ...
Yufei Wang +5 more
wiley +1 more source
Mathematics, 2015 The connection problem for orthogonal polynomials is, given a polynomial expressed in the basis of one set of orthogonal polynomials, computing the coefficients with respect to a different set of orthogonal polynomials.
Tom Bella, Jenna Reis
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Quantum Dust Cores of Black Holes and Their Quasi‐Normal Modes
Fortschritte der Physik, Volume 74, Issue 4, April 2026.We investigate the quasi‐normal mode spectrum of a gravitationally collapsed ball of dust, considering both a linear and a refined parabolic effective mass function for the quantum core. Furthermore, we account for the quantum leakage of dust particles outside the horizon.
T. Bambagiotti +4 more
wiley +1 more source
Nuclear Physics BThis article investigates a new Appell-type sequence, the telephone polynomials, which extend the classical telephone (involution) numbers. We present their fundamental algebraic properties, structural characterizations, and diverse interconnections with
Kalika Prasad, Munesh Kumari
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The q-Laguerre matrix polynomials [PDF]
SpringerPlus, 2016 The Laguerre polynomials have been extended to Laguerre matrix polynomials by means of studying certain second-order matrix differential equation. In this paper, certain second-order matrix q-difference equation is investigated and solved. Its solution gives a generalized of the q-Laguerre polynomials in matrix variable.
openaire +2 more sources
On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We study the derivative of the characteristic polynomial of N×N$N \times N$ Haar‐distributed unitary matrices. We obtain new explicit formulae for complex‐valued moments when the spectral variable is inside the unit disc, in the limit N→∞$N \rightarrow \infty$.
Nicholas Simm, Fei Wei
wiley +1 more source
Regulation of haemodynamic variables by Laguerre polynomials based model predictive control.
ASEAN Journal on Science and Technology for DevelopmentPurpose: Cardiac output (CO) and Mean Arterial Pressure (MAP) are two haemodynamic variables that need regulation in clinical situations, particularly in post-cardiac surgery patients.
Sai Sandeep Boda +2 more
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A note on pseudo Jacobi polynomials
Ain Shams Engineering Journal, 2013 The present paper is a study of pseudo-Jacobi polynomials which have been defined on the pattern of Shively’s pseudo-Laguerre polynomials. The paper contains generating functions, Rodrigues formula, recurrence relations and expansion of pseudo-Jacobi ...
Mumtaz Ahmad Khan +2 more
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