Limiting values and inversion formulas along the cuts of the basic integral representation of p-analytic functions with characteristic p = e ?xyk

1977 ◽  
Vol 28 (5) ◽  
pp. 449-457
Author(s):  
I. N. Aleksandrovich
Keyword(s):  
Integral Representation ◽  
Analytic Functions ◽  
Characteristic P ◽  
Inversion Formulas ◽  
And Inversion ◽  
Limiting Values

The integral representation of p-analytic functions with characteristic p=e?xyk

1969 ◽  
Vol 20 (4) ◽  
pp. 435-441
Author(s):  
N. A. Pakhareva ◽  
I. V. Aleksandrovich
Keyword(s):  
Integral Representation ◽  
Analytic Functions ◽  
Characteristic P

scholarly journals On a class of analytic functions related to Robertson’s formula and subordination

2021 ◽  
Vol 27 (1) ◽  
Author(s):  
Adam Lecko ◽  
Gangadharan Murugusundaramoorthy ◽  
Srikandan Sivasubramanian
Keyword(s):  
Integral Representation ◽  
Analytic Functions ◽  
Boundary Point ◽  
Unit Disc ◽  
Starlike Functions ◽  
Analytic Formula ◽  
Growth Theorem

AbstractIn this paper, we define and study a class of analytic functions in the unit disc by modification of the well-known Robertson’s analytic formula for starlike functions with respect to a boundary point combined with subordination. An integral representation and growth theorem are proved. Early coefficients and the Fekete–Szegö functional are also estimated.

Integral representation of a class of analytic functions

1970 ◽  
Vol 8 (3) ◽  
pp. 663-668
Author(s):  
B. E. Gopengauz
Keyword(s):  
Integral Representation ◽  
Analytic Functions

scholarly journals Uniformly Alpha-Quasi-Convex Functions Defined by Janowski Functions

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Shahid Mahmood ◽  
Sarfraz Nawaz Malik ◽  
Sumbal Farman ◽  
S. M. Jawwad Riaz ◽  
Shabieh Farwa
Keyword(s):  
Integral Representation ◽  
Convex Functions ◽  
Analytic Functions ◽  
Janowski Functions ◽  
Convolution Properties ◽  
Inclusion Results

In this work, we aim to introduce and study a new subclass of analytic functions related to the oval and petal type domain. This includes various interesting properties such as integral representation, sufficiency criteria, inclusion results, and the convolution properties for newly introduced class.

scholarly journals Ranges and Inversion Formulas for Spherical Mean Operator and Its Dual

1995 ◽  
Vol 196 (3) ◽  
pp. 861-884 ◽  
Author(s):  
M.M. Nessibi ◽  
L.T. Rachdi ◽  
K. Trimeche
Keyword(s):  
Spherical Mean Operator ◽  
Inversion Formulas ◽  
Spherical Mean ◽  
And Inversion

scholarly journals Besov-Hankel norms in terms of the continuous Bessel wavelet transform

2021 ◽  
Author(s):  
Ashish Pathak ◽  
Dileep Kumar
Keyword(s):  
Wavelet Transform ◽  
Wavelet Coefficient ◽  
Inversion Formulas ◽  
And Inversion

Using the theory of continuous Bessel wavelet transform in $L^2 (\mathbb{R})$-spaces, we established the Parseval and inversion formulas for the $L^{p,\sigma}(\mathbb{R}^+)$- spaces. We investigate continuity and boundedness properties of Bessel wavelet transform in Besov-Hankel spaces. Our main results: are the characterization of Besov-Hankel spaces by using continuous Bessel wavelet coefficient.

A brief comparison of some Kirchhoff integral formulas for migration and inversion

Geophysics ◽  
1991 ◽  
Vol 56 (8) ◽  
pp. 1164-1169 ◽  
Author(s):  
Paul Docherty
Keyword(s):  
Wave Equation ◽  
Acoustic Wave ◽  
Reflection Coefficients ◽  
Acoustic Wave Equation ◽  
Inversion Formulas ◽  
Kirchhoff Migration ◽  
Integral Formulas ◽  
The One ◽  
And Inversion ◽  
Kirchhoff Integral

Kirchhoff migration has traditionally been viewed as an imaging procedure. Usually, few claims are made regarding the amplitudes in the imaged section. In recent years, a number of inversion formulas, similar in form to those of Kirchhoff migration, have been proposed. A Kirchhoff‐type inversion produces not only an image but also an estimate of velocity variations, or perhaps reflection coefficients. The estimate is obtained from the peak amplitudes in the image. In this paper prestack Kirchhoff migration and inversion formulas for the one‐parameter acoustic wave equation are compared. Following a heuristic approach based on the imaging principle, a migration formula is derived which turns out to be identical to one proposed by Bleistein for inversion. Prestack Kirchhoff migration and inversion are, thus, seen to be the same—both in terms of the image produced and the peak amplitudes of the output.

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