horn functions Latest Research Papers

On q-Horn Hypergeometric Functions H6 and H7

Axioms ◽

10.3390/axioms10040336 ◽

2021 ◽

Vol 10 (4) ◽

pp. 336

Author(s):

Ayman Shehata

Keyword(s):

Differential Equations ◽

Hypergeometric Functions ◽

Special Cases ◽

Horn Functions ◽

Differential Relations

This work aims to construct various properties for basic Horn functions H6 and H7 under conditions on the numerator and denominator parameters, such as several q-contiguous function relations, q-differential relations, and q-differential equations. Special cases of our main results are also demonstrated.

On some formulas for the Horn functions H5 (a, b; c;w, z) and (a; c;w, z)

Integral Transforms and Special Functions ◽

10.1080/10652469.2021.1938026 ◽

2021 ◽

pp. 1-15

Author(s):

Yu. A. Brychkov ◽

N. V. Savischenko

Keyword(s):

Horn Functions

On some formulas for the Horn functions H 4(a, b; c, c′;w, z) and H 7 (c) (a; c, c′;w, z)

Integral Transforms and Special Functions ◽

10.1080/10652469.2021.1878356 ◽

2021 ◽

pp. 1-19

Author(s):

Yu. A. Brychkov ◽

N. V. Savischenko

Keyword(s):

Horn Functions

On some formulas for the Horn functions H 3 (a, b; c; w, z), (a; c; w, z) and Humbert function Φ3(b; c; w, z)

Integral Transforms and Special Functions ◽

10.1080/10652469.2020.1835893 ◽

2020 ◽

pp. 1-16

Author(s):

Yu. A. Brychkov ◽

N. V. Savischenko

Keyword(s):

Horn Functions

Relations for the Horn Functions

Journal of Mathematical Sciences ◽

10.1007/s10958-020-04997-6 ◽

2020 ◽

Vol 250 (1) ◽

pp. 62-68

Author(s):

R. M. Mavlyaviev ◽

I. B. Garipov

Keyword(s):

Horn Functions

On some formulas for the Horn functions H 1(a,b,c;d;w,z) and H 1 (c)(a,b;d;w,z)

Integral Transforms and Special Functions ◽

10.1080/10652469.2020.1790554 ◽

2020 ◽

pp. 1-17

Author(s):

Yu. A. Brychkov ◽

N. V. Savischenko

Keyword(s):

Horn Functions

Generalized Bessel functions of dihedral-type: expression as a series of confluent Horn functions and Laplace-type integral representation

The Ramanujan Journal ◽

10.1007/s11139-019-00234-0 ◽

2020 ◽

Author(s):

L. Deleaval ◽

N. Demni

Keyword(s):

Integral Representation ◽

Bessel Functions ◽

Generalized Bessel Functions ◽

Type Integral ◽

Dihedral Type ◽

Horn Functions ◽

Laplace Type

On some formulas for the Horn functions G 2 (a, a′, b, b′; w, z), G 3 (a, a′; w, z) and Γ1 (a, b, b′; w, z)

Integral Transforms and Special Functions ◽

10.1080/10652469.2020.1760862 ◽

2020 ◽

Vol 31 (11) ◽

pp. 891-905 ◽

Cited By ~ 2

Author(s):

Yu. A. Brychkov ◽

N. V. Savischenko

Keyword(s):

Horn Functions

On some formulas for the Horn functions G 1 (a, b, b′;w, z) and Γ2 (b, b′;w, z)

Integral Transforms and Special Functions ◽

10.1080/10652469.2020.1746051 ◽

2020 ◽

Vol 31 (10) ◽

pp. 804-819 ◽

Cited By ~ 3

Author(s):

Yu. A. Brychkov ◽

N. V. Savischenko

Keyword(s):

Horn Functions

Generating Functions for the Extended Multivariable Fourth Type Horn Functions

International Journal of Applied Physics and Mathematics ◽

10.17706/ijapm.2020.10.2.65-72 ◽

2020 ◽

Vol 10 (2) ◽

pp. 65-72

Author(s):

Korkmaz-Duzgun Duriye ◽

◽

Erkuş-Duman Esra

Keyword(s):

Generating Functions ◽

Fourth Type ◽

Horn Functions

horn functions
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H-INDEX

On q-Horn Hypergeometric Functions H6 and H7

On some formulas for the Horn functions H5 (a, b; c;w, z) and (a; c;w, z)

On some formulas for the Horn functions H 4(a, b; c, c′;w, z) and H 7 (c) (a; c, c′;w, z)

On some formulas for the Horn functions H 3 (a, b; c; w, z), (a; c; w, z) and Humbert function Φ3(b; c; w, z)

Relations for the Horn Functions

On some formulas for the Horn functions H 1(a,b,c;d;w,z) and H 1 (c)(a,b;d;w,z)

Generalized Bessel functions of dihedral-type: expression as a series of confluent Horn functions and Laplace-type integral representation

On some formulas for the Horn functions G 2 (a, a′, b, b′; w, z), G 3 (a, a′; w, z) and Γ1 (a, b, b′; w, z)

On some formulas for the Horn functions G 1 (a, b, b′;w, z) and Γ2 (b, b′;w, z)

Generating Functions for the Extended Multivariable Fourth Type Horn Functions

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horn functionsRecently Published Documents

TOTAL DOCUMENTS

H-INDEX

On q-Horn Hypergeometric Functions H6 and H7

On some formulas for the Horn functions H5 (a, b; c;w, z) and (a; c;w, z)

On some formulas for the Horn functions H 4(a, b; c, c′;w, z) and H 7 (c) (a; c, c′;w, z)

On some formulas for the Horn functions H 3 (a, b; c; w, z), (a; c; w, z) and Humbert function Φ3(b; c; w, z)

Relations for the Horn Functions

On some formulas for the Horn functions H 1(a,b,c;d;w,z) and H 1 (c)(a,b;d;w,z)

Generalized Bessel functions of dihedral-type: expression as a series of confluent Horn functions and Laplace-type integral representation

On some formulas for the Horn functions G 2 (a, a′, b, b′; w, z), G 3 (a, a′; w, z) and Γ1 (a, b, b′; w, z)

On some formulas for the Horn functions G 1 (a, b, b′;w, z) and Γ2 (b, b′;w, z)

Generating Functions for the Extended Multivariable Fourth Type Horn Functions

horn functions
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