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Integral Transformation, Operational Calculus and Their Applications

Integral Transformation, Operational Calculus and Their Applications

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The importance and usefulness of subjects and topics involving integral transformations and operational calculus are becoming widely recognized, not only in the mathematical sciences but also in the physical, biological, engineering and statistical sciences. This book contains invited reviews and expository and original research articles dealing with and presenting state-of-the-art accounts of the recent advances in these important and potentially useful subjects.

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Keywords

  • Analytic functions
  • approximation operators
  • Aprey’s constant
  • arithmetic mean-geometric mean (AM-GM) inequality
  • Bernstein polynomials
  • Catalan’s constant
  • closure theorem
  • contour integral
  • differences of operators
  • differential subordination
  • distortion theorem
  • double integral
  • Dunkel type integral inequality
  • Durrmeyer type operators
  • exponential function
  • Feynman propagator
  • Fourier integral theorem
  • Fox–Wright function
  • generalized hypergeometric function
  • Janowski function
  • k-Fibonacci numbers
  • Lerch function
  • logarithmic function
  • Lorentz invariant complex measures
  • majorization theory
  • Mathematics & science
  • measure convolution
  • measure product
  • meromorphic multivalent function
  • Minkowski space
  • Mittag–Leffler function
  • modulus of continuity
  • multivalent (or p-valent) functions
  • non-separable linear canonical transform
  • non-separable linear canonical wavelet
  • partial sum
  • preinvex fuzzy mappings
  • q-derivative (or q-difference) operator
  • q-difference operator
  • q-Differential operator
  • quadruple integral
  • Reference, information & interdisciplinary subjects
  • Research & information: general
  • Schur-convexity
  • spectral decomposition
  • starlike functions
  • strongly fuzzy mixed variational-like inequalities
  • strongly fuzzy monotonicity
  • strongly invex fuzzy mappings
  • strongly preinvex fuzzy mappings
  • subordination
  • symplectic matrix
  • Szász–Mirakyan–Baskakov operators
  • uncertainty principle

Links

DOI: 10.3390/books978-3-0365-5482-2

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