Results 81 to 90 of about 416 (164)

A Family of Hybrid Functions Generated by the Composition of Bessel and Mittag–Leffler Functions

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we employ a symbolic technique to introduce a new family of Mittag–Leffler–Bessel functions (MLBFs), formed by compositionally combining the classical Bessel functions of the first kind with the three‐parameter Mittag–Leffler function.
Maged G. Bin-Saad, Waleed K. Mohammed, Guotao Wang   +2 more
wiley   +1 more source

p-adicq-umbral Calculus

Journal of Mathematical Analysis and Applications, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Multiple Binomial‐Type Operators and Their Approximation Properties

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we introduce multiple binomial‐type operators (multiple Bernstein–Sheffer operators) and investigate their approximation properties. These properties are analyzed by means of a Korovkin‐type theorem. Furthermore, by using the first and second modulus of continuity together with Peetre’s κ‐functional, we establish the rate of convergence ...
Mehmet Ali Özarslan, Bayram Çekim, Sezin Çit, Smritijit Sen   +3 more
wiley   +1 more source

Further remarks on extended umbral calculus [PDF]

, 2001
summary:The paper deals with extensions of the finite operator calculus of G.-C. Rota called $\psi$-extensions which give a framework for corresponding quantum group investigations.
Grądzka, E., Kwaśniewski, A. K.
core  

Compactly supported wavelets through the classical umbral calculus [PDF]

, 2006
We explore compactly supported scaling functions of wavelet theory by means of classical umbral calculus as reformulated by Rota and Taylor. We set a theory of orthonormal scaling umbra which leads to a very simple and elementary proof of Lawton's ...
SENATO PULLANO, Domenico, SALIANI, Sandra   +1 more
core   +1 more source

Umbral Methods, Function Factorisation and Mittag–Leffler Fourier-Type Integral Transform

Axioms
We propose a systematic way to construct trigonometric-like functions beyond the classical sine–cosine pair by factorising rational expressions in the umbral operator and then evaluating their action on the vacuum.
Giuseppe Dattoli, Roberto Ricci, Tommaso Severati   +2 more
doaj   +1 more source

Variations in Ionospheric Parameters Associated With the 20–21 May 2012 Annular and 21 August 2017 Total Solar Eclipses

The Scientific World Journal, Volume 2026, Issue 1, 2026.
This study investigates the ionospheric effects of the annular solar eclipse (20–21 May 2012) and total solar eclipse (21 August 2017) across midlatitude stations, analyzing critical parameters: F2‐layer critical frequency (foF2), peak height (hmF2), and total electron content (TEC).
Manghang Limbu, Samyam Pudasaini, Sujan Prasad Gautam, Binod Adhikari, Ashok Silwal, Iva Kumari Lamichhane, Rohit Bhattarai, Pitri Bhakta Adhikari, K.-W.-A. Chee   +8 more
wiley   +1 more source

How Framing of Income Eligibility Guidelines Affect Attitudes Towards Program Access and Burdens in Health and Health‐Protective Programs

World Medical &Health Policy, Volume 17, Issue 4, Page 898-911, December 2025.
ABSTRACT Policymakers organize and frequently communicate safety net policies, such as eligibility guidelines around administrative categories. The potential effects on how these thresholds are communicated remain empirically unexplored. We examined if communication either in terms of the Federal Poverty Line (FPL)‐ or dollar‐form alters preferences ...
Simon F. Haeder, Donald P. Moynihan
wiley   +1 more source

More on deformed oscillator algebras and extended umbral calculus [PDF]

, 2002
summary:This paper deals with $\varphi(q)$ calculus which is an extension of finite operator calculus due to Rota, and leading results of Rota's calculus are easily $\varphi$-extendable.
Grądzka, E., Kwaśniewski, A. K.
core  

Set maps, umbral calculus, and the chromatic polynomial [PDF]

, 2007
Some important properties of the chromatic polynomial also hold for any polynomial set map satisfyingpS(x+y)=∑T⊎U=SpT(x)pU(y).Using umbral calculus, we give a formula for the expansion of such a set map in terms of any polynomial sequence of binomial ...
Gus Wiseman, Gus Wiseman, Wiseman, Gus
core   +1 more source