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Some new applications of the fractional integral and four-parameter Mittag-Leffler function. [PDF]
PLoS ONEThe article reveals new applications of the four-parameter Mittag-Leffler function (MLF) in geometric function theory (GFT), using fractional calculus notions.
Ahmad A Abubaker +3 more
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Operator Calculus of Quantized Operator [PDF]
Progress of Theoretical Physics, 1952 The notational ambiguities in Feynman's calculus are all remedied here by setting a more natural foundation of the ordered exponential operators, which will be called briefly "expansional" operators in this paper.
I. Fujiwara
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ACM SIGAPL APL Quote Quad, 1984 This paper extends a line of APL development presented in a sequence of papers [1-7] over the past six years. The main topics addressed are the interactions of operators such as rank, composition, derivative, and inverse (i.e., the beginnings of a calculus of operators), a simplification in the complement of attributes tentatively presented in [6], and
K. Iverson, R. Pesch, J. Schueler
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A System of Interaction and Structure II: The Need for Deep Inference [PDF]
Logical Methods in Computer Science, 2006 This paper studies properties of the logic BV, which is an extension of multiplicative linear logic (MLL) with a self-dual non-commutative operator. BV is presented in the calculus of structures, a proof theoretic formalism that supports deep inference ...
Alwen Tiu
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Covariantization of quantized calculi over quantum groups [PDF]
Mathematica Bohemica, 2020 We introduce a method for construction of a covariant differential calculus over a Hopf algebra $A$ from a quantized calculus $da=[D,a]$, $a\in A$, where $D$ is a candidate for a Dirac operator for $A$.
Seyed Ebrahim Akrami, Shervin Farzi
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Axioms, 2021 In this paper, we aim to generalize a fractional integro-differential operator in the open unit disk utilizing Jackson calculus (quantum calculus or q-calculus).
Rabha W. Ibrahim, Dumitru Baleanu
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Fractal and Fractional, 2023 In this study, we delve into the general theory of operator kernel functions (OKFs) in operational calculus (OC). We established the rigorous mapping relation between the kernel function and the corresponding operator through the primary translation ...
Xiaobin Yu, Yajun Yin
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Axioms, 2022 Fractional calculus has a number of applications in the field of science, specially in mathematics. In this paper, we discuss some applications of fractional differential operators in the field of geometric function theory.
Mohammad Faisal Khan +4 more
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The Properties of Meromorphic Multivalent q-Starlike Functions in the Janowski Domain
Fractal and Fractional, 2023 Many researchers have defined the q-analogous of differential and integral operators for analytic functions using the concept of quantum calculus in the geometric function theory.
Isra Al-Shbeil +5 more
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Hahn Laplace transform and its applications
Demonstratio Mathematica, 2023 Like qq-calculus, Hahn calculus (or q,ωq,\omega -calculus) is constructed by defining a difference derivative operator and an integral operator. The q,ωq,\omega -analogs of the integral representations of the Laplace transform and related special ...
Hıra Fatma
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