Further extension of Voigt function and its properties

Khan, Nabiullah; Ghayasuddin, Mohd; Khan, Waseem A.; Abdeljawad, Thabet; Nisar, Kottakkaran Sooppy

doi:10.1186/s13662-020-02663-4

Cited by 3 publications

(1 citation statement)

References 6 publications

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“…Apart from the relevant applications in physics, they have raised a certain interest in mathematics for their relation with a number of special functions. The generalized forms of the Voigt transform has been proposed in a series of authoritative papers [11,12] in which an extended study of general properties was performed using a formalism mixing up different special functions of a multi-variable and multi-index type. This general point of view stimulated the following consideration.…”

Section: Voigt Functions Hermite Functions and Generalized Formsmentioning

confidence: 99%

Voigt Transform and Umbral Image

Licciardi

Pidatella

Artioli

et al. 2020

MCA

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In this paper, we show that the use of methods of an operational nature, such as umbral calculus, allows achieving a double target: on one side, the study of the Voigt function, which plays a pivotal role in spectroscopic studies and in other applications, according to a new point of view, and on the other, the introduction of a Voigt transform and its possible use. Furthermore, by the same method, we point out that the Hermite and Laguerre functions, extension of the corresponding polynomials to negative and/or real indices, can be expressed through a definition in a straightforward and unified fashion. It is illustrated how the techniques that we are going to suggest provide an easy derivation of the relevant properties along with generalizations to higher order functions.

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Section: Voigt Functions Hermite Functions and Generalized Formsmentioning

confidence: 99%

Voigt Transform and Umbral Image

Licciardi

Pidatella

Artioli

et al. 2020

MCA

View full text Add to dashboard Cite

show abstract

Diversified role of linear radiative stretching/shrinking sheet in the time-dependent hybrid nanofluid flow containing carbon nanotubes nanoparticles

Ontela,

Mishra,

Pattnaik

et al. 2024

Pramana - J Phys

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NEW NEWTON’S TYPE ESTIMATES PERTAINING TO LOCAL FRACTIONAL INTEGRAL VIA GENERALIZED p-CONVEXITY WITH APPLICATIONS

Rashid

Hammouch

et al. 2021

Fractals

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This paper aims to investigate the notion of [Formula: see text]-convex functions on fractal sets [Formula: see text] Based on these novel ideas, we derived an auxiliary result depend on a three-step quadratic kernel by employing generalized [Formula: see text]-convexity. Take into account the local fractal identity, we established novel Newton’s type variants for the local differentiable functions. Several special cases are apprehended in the light of generalized convex functions and generalized harmonically convex functions. This novel strategy captures several existing results in the relative literature. Application is obtained in cumulative distribution function and generalized special weighted means to confirm the relevance and computational effectiveness of the considered method. Finally, we supposed that the consequences of this paper can stimulate those who are interested in fractal analysis.

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Further extension of Voigt function and its properties

Cited by 3 publications

References 6 publications

Voigt Transform and Umbral Image

Voigt Transform and Umbral Image

Diversified role of linear radiative stretching/shrinking sheet in the time-dependent hybrid nanofluid flow containing carbon nanotubes nanoparticles

NEW NEWTON’S TYPE ESTIMATES PERTAINING TO LOCAL FRACTIONAL INTEGRAL VIA GENERALIZED p-CONVEXITY WITH APPLICATIONS

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