Incomplete Anger‐Weber Functions: A Class of Special Functions for Electromagnetics

Caratelli, Diego

doi:10.1029/2018rs006750

Cited by 5 publications

(6 citation statements)

References 38 publications

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“…where A ν (•, •) denotes the incomplete Anger-Weber function of order ν defined by the following integral [45], [46]:…”

Section: A Auxiliary Array Patternmentioning

confidence: 99%

“…Similar far-field modal characterization can be carried out for truncated circular arc array antennas by making use of the theory of incomplete Anger-Weber functions [46]. However, for the sake of brevity, this investigation is not included here and will be presented in future studies.…”

Section: Extension To Circular Ring Antenna Arraysmentioning

confidence: 99%

“…The proposed design procedure is based on a fully analytical formulation and does not require any iterative algorithm, which, in turn, results in a dramatic reduction of synthesis time. To this end, the theory of incomplete Anger-Weber functions is judiciously applied to the evaluation of the array pattern while offering meaningful insights into the physics of wave radiation from the considered class of electromagnetic structures [45], [46].…”

mentioning

confidence: 99%

See 2 more Smart Citations

Deterministic Constrained Synthesis Technique for Conformal Aperiodic Linear Antenna Arrays—Part I: Theory

Caratelli¹,

Toso

Stukach

et al. 2019

IEEE Trans. Antennas Propagat.

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published version features the final layout of the paper including the volume, issue and page numbers. Link to publication General rightsCopyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.• Users may download and print one copy of any publication from the public portal for the purpose of private study or research. • You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal.If the publication is distributed under the terms of Article 25fa of the Dutch Copyright Act, indicated by the "Taverne" license above, please follow below link for the End User

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“…where A ν (•, •) denotes the incomplete Anger-Weber function of order ν defined by the following integral [45], [46]:…”

Section: A Auxiliary Array Patternmentioning

confidence: 99%

Section: Extension To Circular Ring Antenna Arraysmentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

Deterministic Constrained Synthesis Technique for Conformal Aperiodic Linear Antenna Arrays—Part I: Theory

Caratelli¹,

Toso

Stukach

et al. 2019

IEEE Trans. Antennas Propagat.

Self Cite

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show abstract

“…where the first derivative of the incomplete Anger-Weber functions can be evaluated using the relevant recurrence formulas in combination with the relevant asymptotic expansions [53]. By applying the point-matching procedure described in [28, Sec.…”

Section: B Constrained Design Of a Conformal Isoflux Antenna Array 1) Design Problemmentioning

confidence: 99%

Deterministic Constrained Synthesis Technique for Conformal Aperiodic Linear Antenna Arrays—Part II: Applications

Caratelli

Toso

Stukach

et al. 2019

IEEE Trans. Antennas Propagat.

Self Cite

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DOI to the publisher's website.• The final author version and the galley proof are versions of the publication after peer review.• The final published version features the final layout of the paper including the volume, issue and page numbers. Link to publication General rightsCopyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.• Users may download and print one copy of any publication from the public portal for the purpose of private study or research. • You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal.If the publication is distributed under the terms of Article 25fa of the Dutch Copyright Act, indicated by the "Taverne" license above, please follow below link for the End User Agreement:

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“…Applications of special functions and polynomials can be found in the solution to every problem in mathematical physics, engineering, statistics, biology, and in general, in applied mathematics. Among the numerous contributions, we want to mention here only a few articles in support of this pleonastic statement [1][2][3][4]. An important class of these functions is given by the hypergeometric functions, which unifies, through the introduction of suitable parameters, almost all special functions (see, e.g., [5][6][7][8][9][10]).…”

Section: Introductionmentioning

confidence: 99%

Pseudo-Lucas Functions of Fractional Degree and Applications

Cesarano

Natalini

Ricci

2021

Axioms

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In a recent article, the first and second kinds of multivariate Chebyshev polynomials of fractional degree, and the relevant integral repesentations, have been studied. In this article, we introduce the first and second kinds of pseudo-Lucas functions of fractional degree, and we show possible applications of these new functions. For the first kind, we compute the fractional Newton sum rules of any orthogonal polynomial set starting from the entries of the Jacobi matrix. For the second kind, the representation formulas for the fractional powers of a r×r matrix, already introduced by using the pseudo-Chebyshev functions, are extended to the Lucas case.

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Incomplete Anger‐Weber Functions: A Class of Special Functions for Electromagnetics

Cited by 5 publications

References 38 publications

Deterministic Constrained Synthesis Technique for Conformal Aperiodic Linear Antenna Arrays—Part I: Theory

Deterministic Constrained Synthesis Technique for Conformal Aperiodic Linear Antenna Arrays—Part I: Theory

Deterministic Constrained Synthesis Technique for Conformal Aperiodic Linear Antenna Arrays—Part II: Applications

Pseudo-Lucas Functions of Fractional Degree and Applications

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