Legendre and Hermite Polynomials - Articles - Scientific Research Publishing

Duality between Bessel Functions and Chebyshev Polynomials in Expansions of Functions (Articles)

Alfred Wünsche

Advances in Pure Mathematics Vol.13 No.8, August 30, 2023

DOI: 10.4236/apm.2023.138034 350 Downloads 2,074 Views Citations
Squeezed Coherent States in Non-Unitary Approach and Relation to Sub- and Super-Poissonian Statistics (Articles)

Alfred Wünsche

Advances in Pure Mathematics Vol.7 No.12, December 29, 2017

DOI: 10.4236/apm.2017.712044 1,674 Downloads 3,845 Views Citations
New Extension of Unified Family Apostol-Type of Polynomials and Numbers (Articles)

Beih El-Sayed El-Desouky, Rabab Sabry Gomaa

Applied Mathematics Vol.6 No.9, August 5, 2015

DOI: 10.4236/am.2015.69134 3,041 Downloads 4,179 Views Citations
A New Technique for Solving Fractional Order Systems: Hermite Collocation Method (Articles)

Nilay Akgonullu Pirim, Fatma Ayaz

Applied Mathematics Vol.7 No.18, December 12, 2016

DOI: 10.4236/am.2016.718182 6,619 Downloads 8,774 Views Citations
This article belongs to the Special Issue on Fractional Calculus and its Application
New Implementation of Legendre Polynomials for Solving Partial Differential Equations (Articles)

Ali Davari, Abozar Ahmadi

Applied Mathematics Vol.4 No.12, December 3, 2013

DOI: 10.4236/am.2013.412224 5,963 Downloads 9,804 Views Citations
Modified Legendre Collocation Block Method for Solving Initial Value Problems of First Order Ordinary Differential Equations (Articles)

Toyin Gideon Okedayo, Ayodele Olakiitan Owolanke, Olaseni Taiwo Amumeji, Muyiwa Philip Adesuyi

Open Access Library Journal Vol.5 No.7, July 6, 2018

DOI: 10.4236/oalib.1104565 994 Downloads 2,798 Views Citations
Operational Calculus with Hermite Polynomials and a Quite General Gaussian Integral (Articles)

Alfred Wünsche

Journal of Modern Physics Vol.16 No.5, May 30, 2025

DOI: 10.4236/jmp.2025.165040 99 Downloads 630 Views Citations
Characterization of Optical Aberrations Induced by Thermal Gradients and Vibrations via Zernike and Legendre Polynomials (Articles)

Igor Di Varano

Optics and Photonics Journal Vol.6 No.6, June 28, 2016

DOI: 10.4236/opj.2016.66014 2,841 Downloads 5,342 Views Citations
The Gravitational Attraction between Hemispherical Masses (Articles)

Jonathan D. Weiss

Applied Mathematics Vol.8 No.6, June 21, 2017

DOI: 10.4236/am.2017.86064 2,039 Downloads 5,301 Views Citations
Numerical Solution for Initial and Boundary Value Problems of Fractional Order (Articles)

A. M. Kawala

Advances in Pure Mathematics Vol.8 No.12, December 19, 2018

DOI: 10.4236/apm.2018.812051 1,498 Downloads 3,462 Views Citations
A Multinomial Theorem for Hermite Polynomials and Financial Applications (Articles)

Francois Buet-Golfouse

Applied Mathematics Vol.6 No.6, June 5, 2015

DOI: 10.4236/am.2015.66094 4,237 Downloads 6,193 Views Citations
Hermite Solution of Bagley-Torvik Equation of Fractional Order (Articles)

Tamour Zubair, Marriam Sajjad, Rehmatullah Madni, Amna Shabir

International Journal of Modern Nonlinear Theory and Application Vol.6 No.3, August 14, 2017

DOI: 10.4236/ijmnta.2017.63010 1,505 Downloads 3,733 Views Citations
On a Dual to the Properties of Hurwitz Polynomials I (Articles)

Gastón Vergara-Hermosilla

American Journal of Computational Mathematics Vol.11 No.1, March 17, 2021

DOI: 10.4236/ajcm.2021.111003 851 Downloads 2,130 Views Citations
Generating Functions for Products of Special Laguerre 2D and Hermite 2D Polynomials (Articles)

Alfred Wünsche

Applied Mathematics Vol.6 No.12, November 30, 2015

DOI: 10.4236/am.2015.612188 4,824 Downloads 7,202 Views Citations
Chebyshev Polynomials with Applications to Two-Dimensional Operators (Articles)

Alfred Wünsche

Advances in Pure Mathematics Vol.9 No.12, December 24, 2019

DOI: 10.4236/apm.2019.912050 851 Downloads 3,403 Views Citations
Eigenfunctions for a Quantum Wire on a Single Electron at Its Surface and in the Quantum Well with Beaded Fractional Quantized States for the Fractional Charges (Articles)

Saleem Iqbal, Farhana Sarwar, Syed Mohsin Raza

Journal of Applied Mathematics and Physics Vol.4 No.2, February 25, 2016

DOI: 10.4236/jamp.2016.42039 3,395 Downloads 4,641 Views Citations
Operator Methods and SU(1,1) Symmetry in the Theory of Jacobi and of Ultraspherical Polynomials (Articles)

Alfred Wünsche

Advances in Pure Mathematics Vol.7 No.2, February 16, 2017

DOI: 10.4236/apm.2017.72012 3,134 Downloads 5,500 Views Citations
This article belongs to the Special Issue on Group Theory and Its Applications
Legendre Approximation for Solving a Class of Nonlinear Optimal Control Problems (Articles)

Emran Tohidi, Omid Reza Navid Samadi, Mohammad Hadi Farahi

Journal of Mathematical Finance Vol.1 No.1, June 1, 2011

DOI: 10.4236/jmf.2011.11002 6,070 Downloads 13,874 Views Citations
The Effects of Rotation and Salt Concentration On Thermal Convection In a Linear Magneto-Fluid Layer Overlying a Porous Layer (Articles)

Maram S. Al-Qurashi, Abdul-Fattah K. Bukhari

Journal of Electromagnetic Analysis and Applications Vol.4 No.9, September 20, 2012

DOI: 10.4236/jemaa.2012.49052 3,382 Downloads 5,451 Views Citations
Characterisation of Real-World Bus Acceleration and Deceleration Signals (Articles)

Marietta Kirchner, Patric Schubert, Christian T. Haas

Journal of Signal and Information Processing Vol.5 No.1, February 10, 2014

DOI: 10.4236/jsip.2014.51002 6,132 Downloads 9,221 Views Citations

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