Integral Transforms and Operational Calculus

Srivastava, Hari Mohan

doi:10.3390/books978-3-03921-619-2

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https://mdpi.com/books/pdfview/book/1817

Author(s)

Srivastava, Hari Mohan

Language

English

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Abstract

Researches and investigations involving the theory and applications of integral transforms and operational calculus are remarkably wide-spread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences.

URI

https://directory.doabooks.org/handle/20.500.12854/50371

Keywords

infinite-point boundary conditions; nonlinear boundary value problems; q-polynomials; ?-generalized Hurwitz–Lerch zeta functions; Hadamard product; password; summation formulas; Hankel determinant; multi-strip; Euler numbers and polynomials; natural transform; fuzzy volterra integro-differential equations; zeros; fuzzy differential equations; Szász operator; q)-Bleimann–Butzer–Hahn operators; distortion theorems; analytic function; generating relations; differential operator; pseudo-Chebyshev polynomials; Chebyshev polynomials; Mellin transform; uniformly convex functions; operational methods; differential equation; ?-convex function; Fourier transform; q)-analogue of tangent zeta function; q -Hermite–Genocchi polynomials; Dunkl analogue; derivative properties; q)-Euler numbers and polynomials of higher order; exact solutions; encryption; spectrum symmetry; advanced and deviated arguments; PBKDF; wavelet transform of generalized functions; fuzzy general linear method; Lommel functions; highly oscillatory Bessel kernel; generalized mittag-leffler function; audio features; the uniqueness of the solution; analytic; Mittag–Leffler functions; Dziok–Srivastava operator; Bell numbers; rate of approximation; Bessel kernel; univalent functions; inclusion relationships; Liouville–Caputo-type fractional derivative; tangent polynomials; Bernoulli spiral; multi-point; q -Hermite–Euler polynomials; analytic functions; Fredholm integral equation; orthogonality property; Struve functions; cryptography; Janowski star-like function; starlike and q-starlike functions; piecewise Hermite collocation method; uniformly starlike and convex functions; q -Hermite–Bernoulli polynomials; generalized functions; meromorphic function; basic hypergeometric functions; fractional-order differential equations; q -Sheffer–Appell polynomials; integral representations; Srivastava–Tomovski generalization of Mittag–Leffler function; Caputo fractional derivative; Bernoulli; symmetric; sufficient conditions; nonlocal; the existence of a solution; functions of bounded boundary and bounded radius rotations; differential inclusion; symmetry of the zero; recurrence relation; nonlinear boundary value problem; Volterra integral equations; Ulam stability; q)-analogue of tangent numbers and polynomials; starlike function; function spaces and their duals; strongly starlike functions; q)-Bernstein operators; vibrating string equation; ?-generalized Hurwitz-Lerch zeta functions; bound on derivatives; Janowski convex function; volterra integral equation; strongly-starlike function; Hadamard product (convolution); regular solution; generalized Hukuhara differentiability; functions with positive real part; exponential function; q–Bleimann–Butzer–Hahn operators; Carlitz-type q-tangent polynomials; distributions; Carlitz-type q-tangent numbers; starlike functions; Riemann-Stieltjes functional integral; hash; K-functional; (p; Euler; truncated-exponential polynomials; Maple graphs; Hurwitz-Euler eta function; higher order Schwarzian derivatives; generating functions; strongly convex functions; Hölder condition; multiple Hurwitz-Euler eta function; recurrence relations; q-starlike functions; partial sum; Euler and Genocchi polynomials; tangent numbers; spectral decomposition; determinant definition; monomiality principle; highly oscillatory; Hurwitz-Lerch zeta function; Adomian decomposition method; analytic number theory; existence; existence of at least one solution; symmetric identities; modulus of continuity; modified Kudryashov method; MFCC; q-hypergeometric functions; differential subordination; Janowski functions; and Genocchi numbers; series representation; initial conditions; generalization of exponential function; upper bound; q-derivative (or q-difference) operator; DCT; Schwartz testing function space; anuran calls; generalized Kuramoto–Sivashinsky equation; Mittag–Leffler function; subordination; Hardy space; convergence; Hermite interpolation; direct Hermite collocation method; q-Euler numbers and polynomials; distribution space; Apostol-type polynomials and Apostol-type numbers; Schauder fixed point theorem; fractional integral; convolution quadrature rule; q)-integers; Liouville-Caputo fractional derivative; fixed point; convex functions; Grandi curves; tempered distributions; higher order q-Euler numbers and polynomials; radius estimate