Similar Operators and a Functional Calculus for the First-Order Linear Differential Operator
Advances in Applied Mathematics, 1999 For linear functional equations which are similar to differential equations with constant coefficients, the general solution is constructed explicitly by means of operational methods.
Luis Verde-Star
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Some Properties of Fractional Calculus and Linear Operators Associated with Certain Subclass of Multivalent Functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2009 We investigate several distortion inequalities involving fractional calculus, Ruscheweyh derivatives, and some well‐known integral operators. In special cases, the results presented in this paper provide new approaches to several previously known results.
Sh. Khosravianarab +2 more
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Operator Theory on One-Sided Quaternionic Linear Spaces: Intrinsic S-Functional Calculus and Spectral Operators [PDF]
Memoirs of the American Mathematical Society, 2021 Two major themes drive this article: identifying the minimal structure necessary to formulate quaternionic operator theory and revealing a deep relation between complex and quaternionic operator theory. The theory for quaternionic right linear operators is usually formulated under the assumption that there exists ...
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Some characterization and distortion theorems involving fractional calculus, generalized hypergeometric functions, Hadamard products, linear operators, and certain subclasses of analytic functions [PDF]
Nagoya Mathematical Journal, 1987 By using a certain linear operator defined by a Hadamard product or convolution, several interesting subclasses of analytic functions in the unit disk are introduced and studied systematically. The various results presented here include, for example, a number of coefficient estimates and distortion theorems for functions belonging to these subclasses ...
Srivastava, H. M., Owa, Shigeyoshi
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Phase space analysis and functional calculus for the linearized Landau and Boltzmann operators
Kinetic & Related Models, 2013 In many works, the linearized non-cutoff Boltzmann operator is considered to behave essentially as a fractional Laplacian. In the present work, we prove that the linearized non-cutoff Boltzmann operator with Maxwellian molecules is exactly equal to a fractional power of the linearized Landau operator which is the sum of the harmonic oscillator and the ...
Lerner, Nicolas +3 more
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Journal of Mathematical Analysis and Applications, 1989 Making use of fractional calculus, the authors define a certain linear operator \(\Lambda\) (\(\lambda)\) (\(\lambda\neq 1,2,3,...)\) on the class \({\mathcal A}\) of (normalized) analytic functions f(z) in the open unit disk \({\mathcal U}=\{z:\) \(| z|
Srivastava, H. M. +2 more
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A functional calculus and fractional powers for multivalued linear operators
Osaka Journal of Mathematics, 2000 This is a continuation of the earlier work of the two first authors [Potential Analysis Theory 9, No. 4, 301-319 (1998; Zbl 0927.47011)]. The authors improve a functional calculus valid for a wider class of functions. By applying the functional calculus a theory of fractional powers for multivalued nonnegative linear operators is obtained.
Martínez, Celso +2 more
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In 2016, the spectral theory on the $S$-spectrum was used to establish the $H^\infty$-functional calculus for quaternionic or Clifford operators. This calculus applies for example to sectorial or bisectorial right linear operators $T$ and left slice hyperholomorphic functions $f$ that can grow as polynomials.
Colombo, Fabrizio +2 more
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Red Blood Cell Membrane Mechanics Using Discrete Exterior Calculus (DEC) and Optimization. [PDF]
Int J Numer Method Biomed EngAfas KC, Goldman D.
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Matrix Product Operator Algebras I: Representations of Weak Hopf Algebras and Projected Entangled Pair States. [PDF]
Commun Math PhysMolnar A +5 more
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