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Integral Transforms and Operational Calculus
H. M. Srivastava
2019
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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.
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Keywords
- (p
- (p, q)-Euler numbers and polynomials of higher order
- (p, q)-integers
- (p,q)-analogue of tangent numbers and polynomials
- (p,q)-analogue of tangent zeta function
- (p,q)-Bernstein operators
- (p,q)-Bleimann–Butzer–Hahn operators
- (p,q)-integers
- ?-convex function
- ?-generalized Hurwitz-Lerch zeta functions
- ?-generalized Hurwitz–Lerch zeta functions
- Adomian decomposition method
- advanced and deviated arguments
- Analytic
- analytic function
- Analytic functions
- Analytic Number Theory
- and Genocchi numbers
- anuran calls
- Apostol-type polynomials and Apostol-type numbers
- audio features
- basic hypergeometric functions
- Bell numbers
- Bernoulli
- Bernoulli spiral
- Bernoulli, Euler and Genocchi polynomials
- Bernoulli, Euler, and Genocchi numbers
- Bessel kernel
- bound on derivatives
- Caputo fractional derivative
- Carlitz-type q-tangent numbers
- Carlitz-type q-tangent polynomials
- Chebyshev polynomials
- Convergence
- Convex functions
- convolution quadrature rule
- Cryptography
- DCT
- derivative properties
- determinant definition
- differential equation
- differential inclusion
- differential operator
- differential subordination
- direct Hermite collocation method
- distortion theorems
- distribution space
- distributions
- Dunkl analogue
- Dziok–Srivastava operator
- encryption
- Euler
- Euler and Genocchi polynomials
- Euler numbers and polynomials
- exact solutions
- existence
- existence of at least one solution
- exponential function
- fixed point
- fourier transform
- fractional integral
- fractional-order differential equations
- Fredholm integral equation
- function spaces and their duals
- functions of bounded boundary and bounded radius rotations
- functions with positive real part
- fuzzy differential equations
- fuzzy general linear method
- fuzzy volterra integro-differential equations
- generalization of exponential function
- generalized functions
- generalized Hukuhara differentiability
- generalized Kuramoto–Sivashinsky equation
- generalized mittag-leffler function
- Generating functions
- generating relations
- Grandi curves
- Hadamard product
- Hadamard product (convolution)
- Hankel determinant
- Hardy space
- hash
- Hermite interpolation
- higher order q-Euler numbers and polynomials
- higher order Schwarzian derivatives
- highly oscillatory
- highly oscillatory Bessel kernel
- Hölder condition
- Hurwitz-Euler eta function
- Hurwitz-Lerch zeta function
- inclusion relationships
- infinite-point boundary conditions
- initial conditions
- integral representations
- Janowski convex function
- Janowski functions
- Janowski star-like function
- K-functional
- Liouville-Caputo fractional derivative
- Liouville–Caputo-type fractional derivative
- Lommel functions
- Maple graphs
- Mellin transform
- meromorphic function
- MFCC
- Mittag–Leffler function
- Mittag–Leffler functions
- modified Kudryashov method
- modulus of continuity
- monomiality principle
- multi-point
- multi-strip
- multiple Hurwitz-Euler eta function
- natural transform
- nonlinear boundary value problem
- nonlinear boundary value problems
- nonlocal
- operational methods
- orthogonality property
- partial sum
- password
- PBKDF
- piecewise Hermite collocation method
- pseudo-Chebyshev polynomials
- q -Hermite–Bernoulli polynomials
- q -Hermite–Euler polynomials
- q -Hermite–Genocchi polynomials
- q -Sheffer–Appell polynomials
- q -Hermite–Bernoulli polynomials
- q -Hermite–Euler polynomials
- q -Hermite–Genocchi polynomials
- q -Sheffer–Appell polynomials
- q)-analogue of tangent numbers and polynomials
- q)-analogue of tangent zeta function
- q)-Bernstein operators
- q)-Bleimann–Butzer–Hahn operators
- q)-Euler numbers and polynomials of higher order
- q)-integers
- q-derivative (or q-difference) operator
- q-Euler numbers and polynomials
- q-hypergeometric functions
- q-polynomials
- q-starlike functions
- q–Bleimann–Butzer–Hahn operators
- radius estimate
- rate of approximation
- recurrence relation
- recurrence relations
- regular solution
- Riemann-Stieltjes functional integral
- Schauder fixed point theorem
- Schwartz testing function space
- series representation
- spectral decomposition
- spectrum symmetry
- Srivastava–Tomovski generalization of Mittag–Leffler function
- starlike and q-starlike functions
- starlike function
- starlike functions
- strongly convex functions
- strongly starlike functions
- strongly-starlike function
- Struve functions
- subordination
- sufficient conditions
- summation formulas
- symmetric
- symmetric identities
- symmetry of the zero
- Szász operator
- tangent numbers
- tangent polynomials
- tempered distributions
- the existence of a solution
- the uniqueness of the solution
- truncated-exponential polynomials
- Ulam stability
- uniformly convex functions
- uniformly starlike and convex functions
- univalent functions
- upper bound
- vibrating string equation
- volterra integral equation
- Volterra integral equations
- wavelet transform of generalized functions
- zeros