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This paper deals with $ϕ (q)$ calculus which is an extension of finite operator calculus due to Rota, and leading results of Rota’s calculus are easily $ϕ$ -extendable. The particular case $ϕ_{n} (q) = {[n_{q^{1}}]}^{- 1}$ is known to be relevant for quantum group investigations. It is shown here that such $ϕ (q)$ umbral calculus leads to infinitely many new $ϕ$ -deformed quantum like oscillator algebra representations. The authors point to several references dealing with new applications of $q$ umbral and $ϕ (q)$ calculus in which new families of $ϕ (q)$ extensions...

Multiparametric oscillator Hamiltonians with exact bound states in infinite-dimensional space

Znojil, Miloslav (2005)

Proceedings of the 24th Winter School "Geometry and Physics"

Multiple Picard's method for the Stiff nonlinear two-point boundary value problems

Bang, Nguyen Thanh (1982)

Equadiff 5

Multiple reciprocity method for plate bending vibration, sound pressure vibration and coupled structural-acoustic problems

Sladek, Vladimír, Sladek, Ján (1994)

Equadiff 8

Multiple solutions of some asymptotically linear elliptic boundary value problems

Hess, P. (1979)

Equadiff IV

Multiplicity results for nonlinear elliptic equations

Ruf, Bernhard (1986)

Nonlinear Analysis, Function Spaces and Applications

Multipoint boundary value problems at resonance

Rachůnková, I. (1990)

Equadiff 7

Multisequences and measures

Kratochvíl, P. (1977)

General topology and its relations to modern analysis and algebra IV

Multisymplectic forms of degree three in dimension seven

Bureš, Jarolím, Vanžura, Jiří (2003)

Proceedings of the 22nd Winter School "Geometry and Physics"

A multisymplectic 3-structure on an $n$ -dimensional manifold $M$ is given by a closed smooth 3-form $ω$ of maximal rank on $M$ which is of the same algebraic type at each point of $M$ , i.e. they belong to the same orbit under the action of the group $G L (n, ℝ)$ . This means that for each point $x \in M$ the form $ω_{x}$ is isomorphic to a chosen canonical 3-form on $ℝ^{n}$ . R. Westwick [Linear Multilinear Algebra 10, 183–204 (1981; Zbl 0464.15001)] and D. Ž. Djoković [Linear Multilinear Algebra 13, 3–39 (1983; Zbl 0515.15011)] obtained...

We give a survey of the joint papers of Lawrence Somer and Michal Křížek and discuss the beginning of this collaboration.

My wonderful numerical analysis teachers -- Milan Práger and Emil Vitásek

Křížek, Michal (2015)

Application of Mathematics 2015

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Monoton konvergente Iterationsprozesse zur Lösung diskretisierter nichtlinearer Randwertprobleme

Monotone extensions of operators and the first boundary value problem

Monotone increasing covers and paracompactness

Monotone mappings and cellularity of ordered sets

More on deformed oscillator algebras and extended umbral calculus