Wolfram Functions Site

The Wolfram Functions Site was created as a resource for the educational, mathematical, and scientific communities. It contains the world’s most encyclopedic collection of information about mathematical functions. The site also details the interrelationships between the special functions of mathematical physics and the elementary functions of mathematical analysis as well as the interrelationships between the functions in each group. The vast collection of content at functions.wolfram.com was made possible by the powerful features of Mathematica. Its built-in functions, symbolic capabilities, high-precision numerics, programmatic file manipulation, and typesetting were all indispensable to bringing this project to fruition. There are several unique aspects to the presentation of information on this site. The material is organized in a uniform way, thereby providing a summary of the current state of knowledge in the field of special functions. Any gaps in the contents indicate areas where additional research may be needed. Hierarchically structured, interlinked content gives the site a navigability impossible in printed handbooks. In addition to the current ability to search for functions and formulas by name, an enhanced semantic-based search engine will allow formulas to be searched as easily as plain text, a functionality hitherto unavailable anywhere. All formulas are available not only in Mathematica StandardForm but also in MathML and ASCII form. Mathematica notebooks and PDF documents containing all the information in The Wolfram Functions Site are available for download. For users of Mathematica, formulas in StandardForm enable their quick and easy usage from within Mathematica. MathML enables typeset mathematics to be displayed in web browsers and other programs that support it, while ASCII form allows the information to be copied and manipulated in other programs that do not offer support for MathML. Already the largest formula compendium for mathematical functions on the web, this site will continue to grow and expand through time. Along with MathWorld, it reflects Wolfram Research’s continuing commitment to provide state-of-the-art online technical information as part of the Wolfram Resource Library.

References in zbMATH (referenced in 33 articles )

Showing results 1 to 20 of 33.
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  1. Karbstein, Felix: Derivative corrections to the Heisenberg-Euler effective action (2021)
  2. Lehre, Per Kristian; Nguyen, Phan Trung Hai: Runtime analyses of the population-based univariate estimation of distribution algorithms on LeadingOnes (2021)
  3. Massé, A.; Sommen, F.; De Ridder, H.; Raeymaekers, T.: Discrete Weierstrass transform in discrete Hermitian Clifford analysis (2021)
  4. Nadolny, Tobias; Durrer, Ruth; Kunz, Martin; Padmanabhan, Hamsa: A new way to test the cosmological principle: measuring our peculiar velocity and the large-scale anisotropy independently (2021)
  5. Cinal, M.: Highly accurate numerical solution of Hartree-Fock equation with pseudospectral method for closed-shell atoms (2020)
  6. Fredrik Johansson: FunGrim: a symbolic library for special functions (2020) arXiv
  7. Manenti, Andrea: Thermal CFTs in momentum space (2020)
  8. Johansson, Fredrik: Computing hypergeometric functions rigorously (2019)
  9. Lachaud, Gilles: The distribution of the trace in the compact group of type (\mathbfG_2) (2019)
  10. Ahn, Changrim; Bozhilov, Plamen: Some semiclassical structure constants for (\mathrmAdS_4 \times\mathrmCP^3 ) (2018)
  11. Marjanović, Zvezdan M.; Djordjević, Goran T.; Milovanović, Gradimir V.: Truncation error analysis in computing of SEP and SEP floor for partially coherent receiver of MPSK signals over composite fading channels (2018)
  12. Menotti, Pietro: Torus classical conformal blocks (2018)
  13. Schmidt, Maxie D.: New congruences and finite difference equations for generalized factorial functions (2018)
  14. Harley, Mark; Moriello, Francesco; Schabinger, Robert M.: Baikov-Lee representations of cut Feynman integrals (2017)
  15. Karp, D. B.; López, J. L.: Representations of hypergeometric functions for arbitrary parameter values and their use (2017)
  16. Schmidt, Maxie D.: Jacobi-type continued fractions for the ordinary generating functions of generalized factorial functions (2017)
  17. Svane, Anne Marie; Vedel Jensen, Eva B.: Rotational Crofton formulae for Minkowski tensors and some affine counterparts (2017)
  18. Wegert, Elias: Visual exploration of complex functions (2016)
  19. Anastasov, Jelena A.; Zdravković, Nemanja M.; Djordjevic, Goran T.: Outage capacity evaluation of extended generalized-(\mathcalK) fading channel in the presence of random blockage (2015)
  20. Bun, Mark; Thaler, Justin: Dual lower bounds for approximate degree and Markov-Bernstein inequalities (2015)

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