Unified Fractional Derivative Formulae for the Multivariable Aleph-Function

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Frederic Ayant
Frederic Ayant
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FY. AY. Ant
FY. AY. Ant

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Unified Fractional Derivative Formulae for the Multivariable Aleph-Function

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References

34 Cites in Article
  1. F Ayant (2017). Generalized finite integral involving the multiple logarithm-function, a general class of polynomials,the multivariable Aleph-function,the multivariable I-function I.
  2. L Debnath,D Bhatta (2006). Integral Transforms and Their Applications.
  3. Charles Fox (1961). The $G$ and $H$ functions as symmetrical Fourier kernels.
  4. K Gupta,R Soni (2002). A study of H-functions of one and several variables.
  5. S Kalla,R Saxena (1969). Integral operators involving hypergeometric functions.
  6. S Kalla,R Saxena (1969). Integral operators involving hypergeometric functions.
  7. S Kalla,R Saxena (1969). Integral operators involving hypergeometric functions.
  8. S Kalla,R Saxena (1974). Integral operators involving hypergeometric functions.
  9. A Kilbas (2005). Fractional calculus of the generalized Wright function.
  10. Anatoly Kilbas,Nicy Sebastian (2008). Generalized fractional integration of Bessel function of the first kind.
  11. Anatoly Kilbas,Hari Srivastava,Juan Trujillo (2006). Preface.
  12. Virginia Kiryakova (1994). A Generalized Fractional Calculus and Integral Transforms.
  13. Virginia Kiryakova (2008). From the hyper-Bessel operators of Dimovski to the generalized fractional calculus.
  14. E Love (1967). Some Integral Equations Involving Hypergeometric Functions.
  15. O Marichev (1974). Volterra equation of Mellin convolution type with a Horn function in the kernel (In Russian).
  16. A Mathai,R Saxena (1978). The H-function with applications in statistics and other disciplines.
  17. Adam Mcbride (1982). Fractional Powers of a Class of Ordinary Differentilal Operators.
  18. K Miller,B Ross (1993). An Introduction to the Fractional Calculus and Differential Equations.
  19. J Ram,D Suthar (2006). Unified fractional derivative formulae for the multivariable Hfunction.
  20. M Saigo (1978). A remark on integral operators involving the Gauss hypergeometric functions.
  21. M Saigo (1979). A certain boundary value problem for the Euler-Darboux equation I.
  22. M Saigo (1980). A certain boundary value problem for the Euler-Darboux equation II.
  23. M Saigo,N Maeda (1996). More Generalization of Fractional Calculus, Transform Methods and Special Functions.
  24. S Samko,A Kilbas,O (1993). Marichev Fractional Integrals and Derivatives.
  25. C Sharma,S Ahmad (1994). On the multivariable I-function.
  26. Y Singh,H Mandia (2012). On the fractional derivative formulae involving the product of a general class of polynomials and the multivariable A-function.
  27. R Soni,Deepika Singh (2002). Certain fractional derivative formulae involving the product of a general class of polynomials and the multivariableH-function.
  28. H Srivastava (1972). A class of integral equations involving the H function as kernel.
  29. H Srivastava (1985). A multilinear generating function for the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomials.
  30. H Srivastava,R Chandel,P Vishwakarma (1994). Fractional Derivatives of Certain Generalized Hypergeometric Functions of Several Variables.
  31. H Srivastava,S Goyal (1985). Fractional derivatives of the H-function of several variables.
  32. H Srivastava,K Gupta,S Goyal (1982). The H-function of One and Two Variables with Applications.
  33. H Srivastava,Rekha Panda (1975). Some analytic or asymptotic confluent expansions for functions of several variables.
  34. H Srivastava,R Panda (1976). Expansion theorems for the H function of several complex variables..

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Frederic Ayant. 2018. \u201cUnified Fractional Derivative Formulae for the Multivariable Aleph-Function\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 18 (GJSFR Volume 18 Issue F3): .

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Issue Cover
GJSFR Volume 18 Issue F3
Pg. 37- 53
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification: MSC 2010: 33C60, 82C31
Version of record

v1.2

Issue date

April 23, 2018

Language
en
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