**Abstract**

# Topical Collection "Mathematical Analysis and Applications"

A topical collection in *Axioms* (ISSN 2075-1680). This collection belongs to the section "Mathematical Analysis".

## Editor

**Interests:**real and complex analysis; fractional calculus and its applications; integral equations and transforms; higher transcendental functions and their applications; q-series and q-polynomials; analytic number theory; analytic and geometric Inequalities; probability and statistics; inventory modeling and optimization

Special Issues, Collections and Topics in MDPI journals

## Topical Collection Information

Dear Colleagues,

Investigations involving the theory and applications of the mathematical analytic tools and techniques are remarkably widespread in many diverse areas of the mathematical, physical, chemical, engineering, and statistical sciences. In this Collection, we invite and welcome review, expository, and original research articles dealing with the recent advances in mathematical analysis and its multidisciplinary applications.

Looking forward to your contribution to this Topical Collection,

Cordially yours,

Prof. Dr. H. M. Srivastava*Collection Editor*

**Manuscript Submission Information**

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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. *Axioms* is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

## Keywords

- Mathematical (or higher transcendental) functions and their applications
- Fractional calculus and its applications
- q-series and q-polynomials
- Analytic number theory
- Special functions of mathematical physics and applied mathematics
- Geometric function theory of complex analysis

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**Abstract**

**Abstract**

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*h*goes to zero. The new probability laws we propose here highlight that there exists, depending on

*h*, cases where the

*h*goes away from zero, a finite element

*is more accurate than*

**Abstract**

**Abstract**

**Abstract**

*G*contains [...] Read more.

*G*contains at least one loop-reduced finite path, then the order of

*∞*or 1 (under the definition and a natural axiomatization) for the graph groupoids

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*c*

_{0}(Ω,

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**Abstract**

*X*, the normed space

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*X*, the normed space

*X*is, respectively, barrelled, ultrabornological, or unordered Baire-like. When

*X*is a metrizable locally convex space, with an increasing sequence of semi-norms

*p*if and only if

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**Abstract**

**Abstract**

*Big Data in the Internet of Things*, enabled by device miniaturization and data storage capacity. Bayesian spatial statistics is a useful statistical tool to determine the dependence structure and hidden patterns in space [...] Read more.

*Big Data in the Internet of Things*, enabled by device miniaturization and data storage capacity. Bayesian spatial statistics is a useful statistical tool to determine the dependence structure and hidden patterns in space through prior knowledge and data likelihood. However, this class of modeling is not yet well explored when compared to adopting classification and regression in machine-learning models, in which the assumption of the spatiotemporal independence of the data is often made, that is an inexistent or very weak dependence. Thus, this systematic review aims to address the main models presented in the literature over the past 20 years, identifying the gaps and research opportunities. Elements such as random fields, spatial domains, prior specification, the covariance function, and numerical approximations are discussed. This work explores the two subclasses of spatial smoothing:

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**Abstract**

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**Abstract**

**Abstract**

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**Abstract**

*r*-associated Stirling numbers of the second kind and examine their connections with a class of generalized Bernoulli polynomials. Herein, we use the Blissard umbral approach and the familiar Bell polynomials. Links [...] Read more.

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_{3}

*F*

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**Abstract**

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**Abstract**

*L*-index in the direction

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**Abstract**

**Abstract**

*E*a separable Banach space and

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**Abstract**

*N*-uplet of

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**Abstract**

**Abstract**

**Abstract**

**Abstract**

**Abstract**

**Abstract**

*c*-Distance in Cone

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**Abstract**

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**Abstract**

**Abstract**

**Abstract**

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**Abstract**

*L*-index in the direction

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**Abstract**

**Abstract**

*f*(

*x*

_{1}+

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_{2}+

*y*

_{2}, …,

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_{n}_{}+

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_{n}*f*(

*x*

_{1},

*x*

_{}[...] Read more.

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*x*

_{1}+

*y*

_{1},

*x*

_{2}+

*y*

_{2}, …,

*x*

_{n}_{}+

*y*) =

_{n}*f*(

*x*

_{1},

*x*

_{2}, …

*x*) +

_{n}*f*(

*y*

_{1},

*y*

_{2}, …,

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*b*-metric spaces and prove modifications of fixed point theorems for Reich and Hardy–Rogers type contractions. We present an approach generalizing some fixed point theorems to the case of almost

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_{b}**Abstract**

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**Abstract**

**Abstract**

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**Abstract**

**Abstract**

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**Abstract**

**Abstract**

**Abstract**

*k*, we derive some identities and relations including the combinatorial numbers, the Apostol-Bernoulli polynomials and numbers of order [...] Read more.

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