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Special Issue: Special functions and related applications

Guest Editors

Prof. Clemente Cesarano
Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy
Email: clemente.cesarano@uninettuno.it ; clemente.cesarano@uninettunouniversity.net

Manuscript Topics


Numerical methods and, in particular, numerical analysis represent an important field of investigation in modern mathematical research. In recent years, numerical analysis has undertaken a various lines of application in different areas of applied mathematics and, moreover, in applied sciences, such as biology, physics, engineering, and so on. In this Special Issue, we want to draw attention to mathematical methods used in numerical analysis for special functions, orthogonal polynomials to investigate the concepts and properties of some special and advanced methods that are useful in the description of solutions of linear and non-linear differential equations, in particular by noting that the hypergeometric equations allow us to investigate the field of orthogonal polynomials and special functions.


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Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 31 December 2024

Published Papers(14)

Research article
A new class of generalized Apostol–type Frobenius–Euler polynomials
Letelier Castilla William Ramírez Clemente Cesarano Shahid Ahmad Wani Maria-Fernanda Heredia-Moyano
2025, Volume 10, Issue 2: 3623-3641. doi: 10.3934/math.2025167
Abstract HTML PDF Viewed (170)
Research article
NE transform of pathway fractional integrals involving S-function
Shristi Mishra Harish Nagar Naveen Mani Rahul Shukla
2025, Volume 10, Issue 2: 3013-3024. doi: 10.3934/math.2025140
Abstract HTML PDF Viewed (257)
Research article
Expectation formulas for q-probability distributions: a new extension via Andrews-Askey integral
Qiuxia Hu Bilal Khan Serkan Araci
2025, Volume 10, Issue 1: 1448-1462. doi: 10.3934/math.2025067
Abstract HTML PDF Viewed (439)
Research article
Estimates related to Caputo derivatives using generalized modified h-convex functions
Halim Benali Mohammed Said Souid Hatıra Günerhan Unai Fernandez-Gamiz
2024, Volume 9, Issue 10: 28813-28827. doi: 10.3934/math.20241398
Abstract HTML PDF Viewed (606)
Research article
Advancements in q-Hermite-Appell polynomials: a three-dimensional exploration
Mohra Zayed Shahid Ahmad Wani William Ramírez Clemente Cesarano
2024, Volume 9, Issue 10: 26799-26824. doi: 10.3934/math.20241303
Abstract HTML PDF Cited (6) Viewed (792)
Research article
Properties and applications of generalized 1-parameter 3-variable Hermite-based Appell polynomials
Mohra Zayed Shahid Ahmad Wani
2024, Volume 9, Issue 9: 25145-25165. doi: 10.3934/math.20241226
Abstract HTML PDF Cited (2) Viewed (719)
Research article
Analysis of rumor spreading with different usage ranges in a multilingual environment
Liuqin Huang Jinling Wang Jiarong Li Tianlong Ma
2024, Volume 9, Issue 9: 24018-24038. doi: 10.3934/math.20241168
Abstract HTML PDF Viewed (826)
Research article
The orthogonal polynomials method using Gegenbauer polynomials to solve mixed integral equations with a Carleman kernel
Ahmad Alalyani M. A. Abdou M. Basseem
2024, Volume 9, Issue 7: 19240-19260. doi: 10.3934/math.2024937
Abstract HTML PDF Viewed (993)
Research article
A study on extended form of multivariable Hermite-Apostol type Frobenius-Euler polynomials via fractional operators
Mohra Zayed Shahid Ahmad Wani Georgia Irina Oros William Ramŕez
2024, Volume 9, Issue 6: 16297-16312. doi: 10.3934/math.2024789
Abstract HTML PDF Cited (4) Viewed (928)
Research article
New technique for solving the numerical computation of neutral fractional functional integro-differential equation based on the Legendre wavelet method
Kanagaraj Muthuselvan Baskar Sundaravadivoo Kottakkaran Sooppy Nisar Fahad Sameer Alshammari
2024, Volume 9, Issue 6: 14288-14309. doi: 10.3934/math.2024694
Abstract HTML PDF Cited (1) Viewed (1086)
Research article
Analytic properties and numerical representations for constructing the extended beta function using logarithmic mean
Mohammed Z. Alqarni Mohamed Abdalla
2024, Volume 9, Issue 5: 12072-12089. doi: 10.3934/math.2024590
Abstract HTML PDF Cited (1) Viewed (1066)
Research article
A faster iterative scheme for common fixed points of G-nonexpansive mappings via directed graphs: application in split feasibility problems
Maryam Iqbal Afshan Batool Aftab Hussain Hamed Al-Sulami
2024, Volume 9, Issue 5: 11941-11957. doi: 10.3934/math.2024583
Abstract HTML PDF Cited (2) Viewed (1184)
Research article
Numerical study of fractional phi-4 equation
Y. Massoun C. Cesarano A. K Alomari A. Said
2024, Volume 9, Issue 4: 8630-8640. doi: 10.3934/math.2024418
Abstract HTML PDF Cited (1) Viewed (1188)
Research article
Nonparametric bootstrap methods for hypothesis testing in the event of double-censored data
Asamh Saleh M. Al Luhayb
2024, Volume 9, Issue 2: 4649-4664. doi: 10.3934/math.2024224
Abstract HTML PDF Viewed (1173)