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Integral Transforms and Operational Calculus

Integral Transforms and Operational Calculus

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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

Links

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

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