×

Miller, Allen Richard

Compute Distance To:
Author ID: miller.allen-richard Recent zbMATH articles by "Miller, Allen Richard"
Published as: Miller, Allen R.; Miller, A. R.; Miller, Allen Richard
Documents Indexed: 77 Publications since 1875
Co-Authors: 10 Co-Authors with 26 Joint Publications
768 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

60 Publications have been cited 638 times in 131 Documents Cited by Year
A feedback finite element method with a posteriori error estimation. I: The finite element method and some basic properties of the a posteriori error estimator. Zbl 0593.65064
Babuška, Ivo; Miller, A.
107
1987
The post-processing approach in the finite element method. I. Calculation of displacements, stresses and other higher derivatives of the displacements. Zbl 0535.73052
Babuška, Ivo; Miller, A.
85
1984
The post-processing approach in the finite element method. II. The calculation of stress intensity factors. Zbl 0535.73053
Babuška, Ivo; Miller, A.
63
1984
The post-processing approach in the finite element method. III. A posteriori error estimates and adaptive mesh selection. Zbl 0571.73074
Babuška, Ivo; Miller, A.
52
1984
Impurity conduction at low concentrations. Zbl 0093.22403
Miller, Allen; Abrahams, Elihu
23
1960
Transformation formulas for the generalized hypergeometric function with integral parameter differences. Zbl 1275.33009
Miller, A. R.; Paris, R. B.
22
2013
Karlsson-Minton summation theorems for the generalized hypergeometric series of unit argument. Zbl 1200.33007
Miller, Allen R.; Srivastava, H. M.
21
2010
A summation formula for Clausen’s series \(_3F_2(1)\) with an application to Goursat’s function \(_2F_2(x)\). Zbl 1068.33009
Miller, Allen R.
16
2005
Reductions of a generalized incomplete gamma function, related Kampé de Fériet functions, and incomplete Weber integrals. Zbl 0978.33006
Miller, Allen R.
12
2000
Certain transformations and summations for generalized hypergeometric series with integral parameter differences. Zbl 1217.33013
Miller, A. R.; Paris, R. B.
12
2011
Certain summation and transformation formulas for generalized hypergeometric series. Zbl 1221.33011
Miller, Allen R.
12
2009
Incomplete Lipschitz-Hankel integrals of Bessel functions. Zbl 0679.33006
Miller, Allen R.
11
1989
Reduction of a class of Fox-Wright Psi functions for certain rational parameters. Zbl 0839.33003
Miller, A. R.; Moskowitz, I. S.
11
1995
Remarks on a generalized beta function. Zbl 1041.33501
Miller, Allen R.
10
1998
A note on incomplete integrals of cylindrical functions. Zbl 0683.33006
Miller, Allen R.
9
1989
Euler-type transformations for the generalized hypergeometric function \(_{r+2} F _{r+1}(x)\). Zbl 1225.33005
Miller, A. R.; Paris, R. B.
9
2011
Using the folded-over 12-run Plackett-Burman design to consider interactions. Zbl 1072.62622
Miller, A.; Sitter, R. R.
9
2001
A Lipschitz-Hankel integral of \(K_ 0\). Zbl 0674.33003
Miller, Allen R.
8
1988
On a result related to transformations and summations of generalized hypergeometric series. Zbl 1248.33012
Miller, Allen Richard; Paris, Richard Bruce
8
2012
On the Mellin transform of products of Bessel and generalized hypergeometric functions. Zbl 0889.44004
Miller, Allen R.
7
1997
Reduction formulas for Kampé de Fériet functions associated with certain classes of incomplete Lipschitz-Hankel type integrals of cylindrical functions. Zbl 0737.33002
Miller, A. R.; Srivastava, H. M.
7
1992
On a Kummer-type transformation for the generalized hypergeometric function \(_{2}F_{2}\). Zbl 1025.33003
Miller, Allen R.
7
2003
On the Mellin transform of a product of hypergeometric functions. Zbl 0915.33006
Miller, Allen R.; Srivastava, H. M.
7
1998
Incomplete Lipschitz-Hankel integrals of MacDonald functions. Zbl 0698.33009
Miller, Allen R.
6
1990
Clausen’s series \(_{3} F _{2}(1)\) with integral parameter differences and transformations of the hypergeometric function \(_{2} F _{2}(x)\). Zbl 1258.33004
Miller, A. R.; Paris, R. B.
6
2012
A reduction formula for the Kampé de Fériet function. Zbl 1190.33008
Cvijović, Djurdje; Miller, Allen R.
6
2010
Generating functions for finite group actions on surfaces. Zbl 0916.57022
MacLachlan, C.; Miller, A.
6
1998
Incomplete Weber integrals of cylindrical functions. Zbl 0736.33011
Miller, Allen R.; Moskowitz, Ira S.
5
1991
An incomplete Lipschitz-Hankel integral of \(K_ 0\). Zbl 0649.33002
Miller, Allen R.
5
1988
Reduction formulae for Kampé de Fériet functions \(F^{p:2;1}_{q:1;0}\). Zbl 0719.33007
Miller, Allen R.
5
1990
Sonine-Gegenbauer-type integrals. Zbl 0826.33009
Miller, Allen R.; Exton, Harold
5
1994
On certain generalized incomplete gamma functions. Zbl 0933.33003
Miller, Allen R.; Moskowitz, Ira S.
5
1998
Adaptive methods and error estimation for elliptic problems of structural mechanics. Zbl 0581.73080
Babuška, Ivo; Miller, A.; Vogelius, M.
5
1983
Choosing columns from the 12-run Plackett-Burman design. Zbl 1059.62084
Miller, A.; Sitter, R. R.
5
2004
On certain Schlömilch-type series. Zbl 0870.33003
Miller, Allen R.
4
1997
Summations for certain series containing the digamma function. Zbl 1091.33004
Miller, Allen R.
4
2006
On the Mellin transform of a product of two Fox-Wright psi functions. Zbl 1004.33007
Miller, Allen R.
4
2002
Incomplete Lipschitz-Hankel integrals of Struve functions. Zbl 0783.44002
Miller, A. R.
3
1992
Solutions of Fermat’s last equation in terms of Wright’s hypergeometric function. Zbl 0728.11021
Miller, Allen R.
3
1991
Chow-Künneth decomposition for universal families over Picard modular surfaces. Zbl 1127.14013
Miller, A.; Müller-Stach, S.; Wortmann, S.; Yang, Y.-H.; Zuo, K.
3
2007
A generalised Kummer-type transformation for the \(_pF_p(x)\) hypergeometric function. Zbl 1314.33006
Miller, A. R.; Paris, R. B.
3
2012
A hypergeometric formulation of Fermat’s Last Theorem. Zbl 0761.11014
Miller, Allen R.; Vegh, Emanuel; Wardlaw, William P.
2
1992
Representations for incomplete integrals of cylindrical functions. Zbl 0718.33001
Miller, Allen R.
2
1991
Further reducible cases of certain Kampé de Fériet functions associated with incomplete integrals of cylindrical functions. Zbl 0817.33009
Miller, A. R.; Srivastava, H. M.
2
1995
\(m\)-dimensional Schlömilch series. Zbl 0837.33003
Miller, Allen R.
2
1995
Generalizations of the Carlton-Kimball distribution for a target’s future location. Zbl 0853.90069
Miller, A. R.; Moskowitz, I. S.
2
1996
On the critical case of the Weber-Schafheitlin integral and a certain generalization. Zbl 1015.33004
Miller, Allen R.
2
2000
Folded over non-orthogonal designs. Zbl 1140.62064
Lin, C. Devon; Miller, A.; Sitter, R. R.
2
2008
Incomplete Lipschitz-Hankel integrals of Anger and Weber functions. Zbl 0948.33002
Miller, Allen R.
2
1998
The channel capacity of a certain noisy timing channel. Zbl 0775.94089
Moskowitz, Ira S.; Miller, Allen R.
1
1992
A class of generalized hypergeometric summations. Zbl 0903.33005
Miller, Allen R.
1
1997
Reduction formulas for Kampé de Fériet functions associated with certain classes of incomplete Lipschitz-Hankel type integrals of cylindrical functions. Zbl 0723.33005
Miller, A. R.; Srivastava, H. M.
1
1991
Exact result for the grazing angle of specular reflection from a sphere. Zbl 0783.30005
Miller, Allen R.; Vegh, Emanuel
1
1993
A Sonine-Gegenbauer integral of the Neumann function. Zbl 0856.33014
Miller, Allen R.
1
1996
On certain two-dimensional Schlömilch series. Zbl 0853.33016
Miller, Allen R.
1
1995
The phenomenological theory of superconductors. Zbl 0041.58602
Miller, A. R.
1
1949
A transformation formula for the generalized hypergeometric series \(_4F_3(1)\). Zbl 1040.33003
Miller, Allen R.
1
2003
The number of configurations of a cooperative assembly. JFM 68.0653.08
Miller, A. R.
1
1942
Elementary excitations in liquid helium. Zbl 0115.23602
Miller, Allen; Pines, David; Nozieres, Philippe
1
1962
The Mellin transform of a product of two hypergeometric functions. Zbl 0992.44001
Miller, Allen R.
1
2001
Transformation formulas for the generalized hypergeometric function with integral parameter differences. Zbl 1275.33009
Miller, A. R.; Paris, R. B.
22
2013
On a result related to transformations and summations of generalized hypergeometric series. Zbl 1248.33012
Miller, Allen Richard; Paris, Richard Bruce
8
2012
Clausen’s series \(_{3} F _{2}(1)\) with integral parameter differences and transformations of the hypergeometric function \(_{2} F _{2}(x)\). Zbl 1258.33004
Miller, A. R.; Paris, R. B.
6
2012
A generalised Kummer-type transformation for the \(_pF_p(x)\) hypergeometric function. Zbl 1314.33006
Miller, A. R.; Paris, R. B.
3
2012
Certain transformations and summations for generalized hypergeometric series with integral parameter differences. Zbl 1217.33013
Miller, A. R.; Paris, R. B.
12
2011
Euler-type transformations for the generalized hypergeometric function \(_{r+2} F _{r+1}(x)\). Zbl 1225.33005
Miller, A. R.; Paris, R. B.
9
2011
Karlsson-Minton summation theorems for the generalized hypergeometric series of unit argument. Zbl 1200.33007
Miller, Allen R.; Srivastava, H. M.
21
2010
A reduction formula for the Kampé de Fériet function. Zbl 1190.33008
Cvijović, Djurdje; Miller, Allen R.
6
2010
Certain summation and transformation formulas for generalized hypergeometric series. Zbl 1221.33011
Miller, Allen R.
12
2009
Folded over non-orthogonal designs. Zbl 1140.62064
Lin, C. Devon; Miller, A.; Sitter, R. R.
2
2008
Chow-Künneth decomposition for universal families over Picard modular surfaces. Zbl 1127.14013
Miller, A.; Müller-Stach, S.; Wortmann, S.; Yang, Y.-H.; Zuo, K.
3
2007
Summations for certain series containing the digamma function. Zbl 1091.33004
Miller, Allen R.
4
2006
A summation formula for Clausen’s series \(_3F_2(1)\) with an application to Goursat’s function \(_2F_2(x)\). Zbl 1068.33009
Miller, Allen R.
16
2005
Choosing columns from the 12-run Plackett-Burman design. Zbl 1059.62084
Miller, A.; Sitter, R. R.
5
2004
On a Kummer-type transformation for the generalized hypergeometric function \(_{2}F_{2}\). Zbl 1025.33003
Miller, Allen R.
7
2003
A transformation formula for the generalized hypergeometric series \(_4F_3(1)\). Zbl 1040.33003
Miller, Allen R.
1
2003
On the Mellin transform of a product of two Fox-Wright psi functions. Zbl 1004.33007
Miller, Allen R.
4
2002
Using the folded-over 12-run Plackett-Burman design to consider interactions. Zbl 1072.62622
Miller, A.; Sitter, R. R.
9
2001
The Mellin transform of a product of two hypergeometric functions. Zbl 0992.44001
Miller, Allen R.
1
2001
Reductions of a generalized incomplete gamma function, related Kampé de Fériet functions, and incomplete Weber integrals. Zbl 0978.33006
Miller, Allen R.
12
2000
On the critical case of the Weber-Schafheitlin integral and a certain generalization. Zbl 1015.33004
Miller, Allen R.
2
2000
Remarks on a generalized beta function. Zbl 1041.33501
Miller, Allen R.
10
1998
On the Mellin transform of a product of hypergeometric functions. Zbl 0915.33006
Miller, Allen R.; Srivastava, H. M.
7
1998
Generating functions for finite group actions on surfaces. Zbl 0916.57022
MacLachlan, C.; Miller, A.
6
1998
On certain generalized incomplete gamma functions. Zbl 0933.33003
Miller, Allen R.; Moskowitz, Ira S.
5
1998
Incomplete Lipschitz-Hankel integrals of Anger and Weber functions. Zbl 0948.33002
Miller, Allen R.
2
1998
On the Mellin transform of products of Bessel and generalized hypergeometric functions. Zbl 0889.44004
Miller, Allen R.
7
1997
On certain Schlömilch-type series. Zbl 0870.33003
Miller, Allen R.
4
1997
A class of generalized hypergeometric summations. Zbl 0903.33005
Miller, Allen R.
1
1997
Generalizations of the Carlton-Kimball distribution for a target’s future location. Zbl 0853.90069
Miller, A. R.; Moskowitz, I. S.
2
1996
A Sonine-Gegenbauer integral of the Neumann function. Zbl 0856.33014
Miller, Allen R.
1
1996
Reduction of a class of Fox-Wright Psi functions for certain rational parameters. Zbl 0839.33003
Miller, A. R.; Moskowitz, I. S.
11
1995
Further reducible cases of certain Kampé de Fériet functions associated with incomplete integrals of cylindrical functions. Zbl 0817.33009
Miller, A. R.; Srivastava, H. M.
2
1995
\(m\)-dimensional Schlömilch series. Zbl 0837.33003
Miller, Allen R.
2
1995
On certain two-dimensional Schlömilch series. Zbl 0853.33016
Miller, Allen R.
1
1995
Sonine-Gegenbauer-type integrals. Zbl 0826.33009
Miller, Allen R.; Exton, Harold
5
1994
Exact result for the grazing angle of specular reflection from a sphere. Zbl 0783.30005
Miller, Allen R.; Vegh, Emanuel
1
1993
Reduction formulas for Kampé de Fériet functions associated with certain classes of incomplete Lipschitz-Hankel type integrals of cylindrical functions. Zbl 0737.33002
Miller, A. R.; Srivastava, H. M.
7
1992
Incomplete Lipschitz-Hankel integrals of Struve functions. Zbl 0783.44002
Miller, A. R.
3
1992
A hypergeometric formulation of Fermat’s Last Theorem. Zbl 0761.11014
Miller, Allen R.; Vegh, Emanuel; Wardlaw, William P.
2
1992
The channel capacity of a certain noisy timing channel. Zbl 0775.94089
Moskowitz, Ira S.; Miller, Allen R.
1
1992
Incomplete Weber integrals of cylindrical functions. Zbl 0736.33011
Miller, Allen R.; Moskowitz, Ira S.
5
1991
Solutions of Fermat’s last equation in terms of Wright’s hypergeometric function. Zbl 0728.11021
Miller, Allen R.
3
1991
Representations for incomplete integrals of cylindrical functions. Zbl 0718.33001
Miller, Allen R.
2
1991
Reduction formulas for Kampé de Fériet functions associated with certain classes of incomplete Lipschitz-Hankel type integrals of cylindrical functions. Zbl 0723.33005
Miller, A. R.; Srivastava, H. M.
1
1991
Incomplete Lipschitz-Hankel integrals of MacDonald functions. Zbl 0698.33009
Miller, Allen R.
6
1990
Reduction formulae for Kampé de Fériet functions \(F^{p:2;1}_{q:1;0}\). Zbl 0719.33007
Miller, Allen R.
5
1990
Incomplete Lipschitz-Hankel integrals of Bessel functions. Zbl 0679.33006
Miller, Allen R.
11
1989
A note on incomplete integrals of cylindrical functions. Zbl 0683.33006
Miller, Allen R.
9
1989
A Lipschitz-Hankel integral of \(K_ 0\). Zbl 0674.33003
Miller, Allen R.
8
1988
An incomplete Lipschitz-Hankel integral of \(K_ 0\). Zbl 0649.33002
Miller, Allen R.
5
1988
A feedback finite element method with a posteriori error estimation. I: The finite element method and some basic properties of the a posteriori error estimator. Zbl 0593.65064
Babuška, Ivo; Miller, A.
107
1987
The post-processing approach in the finite element method. I. Calculation of displacements, stresses and other higher derivatives of the displacements. Zbl 0535.73052
Babuška, Ivo; Miller, A.
85
1984
The post-processing approach in the finite element method. II. The calculation of stress intensity factors. Zbl 0535.73053
Babuška, Ivo; Miller, A.
63
1984
The post-processing approach in the finite element method. III. A posteriori error estimates and adaptive mesh selection. Zbl 0571.73074
Babuška, Ivo; Miller, A.
52
1984
Adaptive methods and error estimation for elliptic problems of structural mechanics. Zbl 0581.73080
Babuška, Ivo; Miller, A.; Vogelius, M.
5
1983
Elementary excitations in liquid helium. Zbl 0115.23602
Miller, Allen; Pines, David; Nozieres, Philippe
1
1962
Impurity conduction at low concentrations. Zbl 0093.22403
Miller, Allen; Abrahams, Elihu
23
1960
The phenomenological theory of superconductors. Zbl 0041.58602
Miller, A. R.
1
1949
The number of configurations of a cooperative assembly. JFM 68.0653.08
Miller, A. R.
1
1942
all top 5

Cited by 130 Authors

26 Miller, Allen Richard
13 Paris, Richard Bruce
13 Srivastava, Hari Mohan
9 Rathie, Arjun Kumar
7 Karp, Dmitriĭ Borisovich
7 Kim, Yong Sup
6 Jankov Maširević, Dragana
6 Pogány, Tibor K.
6 Prilepkina, Elena Gumarovna
4 Chaudhry, Muhammad Aslam
4 Masjed-Jamei, Mohammad
4 Milovanović, Gradimir V.
4 Moskowitz, Ira S.
4 Parmar, Rakesh Kumar
4 Qureshi, Mohammad Idris
4 Rakha, Medhat Ahmed
3 Chu, Wenchang
3 Luo, Minjie
3 Mehrez, Khaled
2 Ali, Mahvish
2 Chopra, Purnima
2 El-Hadidy, Mohamed Abd Allah
2 Özergin, Emine
2 Purohit, Sunil Dutt
2 Qadir, Asghar
2 Raina, Ravinder Krishna
2 Wei, Chuanan
1 Abd-Elhameed, Waleed Mohamed
1 Agarwal, Praveen
1 Agarwal, Ritu
1 Ahmed, Hany M.
1 Al-Shomrani, Ali A.
1 AlAhmad, Rami
1 Albrecher, Hansjörg
1 Ali Özarslan, M.
1 Altin, Abdullah
1 Awad, Mohamed M.
1 Awad, Mohammed M.
1 Aygunes, Aykut Ahmet
1 Bardeen, John
1 Baricz, Árpád
1 Belafhal, Abdelmajid
1 Belkić, Dževad
1 Boudjelkha, Mohammed T.
1 Bytev, Vladimir V.
1 Candezano, Miguel A. C.
1 Cani, Arian
1 Çetinkaya, Asena
1 Chaggara, Hamza
1 Charão, Ruy Coimbra
1 Chib, Salma
1 Choi, Junesang
1 Cordeiro, Gauss Moutinho
1 Cvijović, Djurdje
1 Doha, Eid H.
1 Elezović, Neven
1 Exton, Harold
1 Fatawat, Kalpana
1 Frassek, Rouven
1 Fujimura, Masayo
1 Galué, Leda
1 Gehlot, Kuldeep Singh
1 Gong, Dianxuan
1 Górska, Katarzyna
1 Grandits, Peter
1 Gupta, Arjun Kumar
1 Hao, Haiyan
1 Hariri, Parisa
1 Heilmann, Ole J.
1 Horzela, Andrzej
1 Ikehata, Ryo
1 Ishkhanyan, Artur Michaĭlovich
1 Jaimini, B. B.
1 Juršėnas, Rytis
1 Kalla, Shyam Lal
1 Kalmykov, Sergeĭ Ivanovich
1 Kashif Khan, M.
1 Kellendonk, Johannes
1 Kniehl, Bernd A.
1 Koepf, Wolfram A.
1 Koul, C. L.
1 Kumar Singh, Dharmendra
1 Lamiri, Imed
1 Landau, Lawrence J.
1 Li, Heng
1 Lieb, Elliott Hershel
1 Liu, Hongmei
1 Luswili, N. J.
1 Maier, Robert S.
1 Malik, Shakir Hussain
1 Mamiya, Azumi
1 Mangin, Sephorah
1 Marboe, Christian
1 Meidinger, David
1 Melikdzhanian, D. Yu.
1 Milgram, Michael S.
1 Mishev, Ilia D.
1 Mocanu, Marcelina
1 Mohamed, Abd-Elmoneim Anwar
1 Mondal, Saiful Rahman
...and 30 more Authors
all top 5

Cited in 62 Serials

15 Integral Transforms and Special Functions
12 Journal of Computational and Applied Mathematics
11 Journal of Mathematical Analysis and Applications
6 Applied Mathematics and Computation
5 Journal of the Franklin Institute
4 Computers & Mathematics with Applications
3 Rocky Mountain Journal of Mathematics
3 Turkish Journal of Mathematics
3 Filomat
3 Communications of the Korean Mathematical Society
3 Applications and Applied Mathematics
2 Mathematical Methods in the Applied Sciences
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 International Journal of Mathematics and Mathematical Sciences
2 Results in Mathematics
2 Mathematical and Computer Modelling
2 Communications in Statistics. Theory and Methods
2 The Ramanujan Journal
2 Applicable Analysis and Discrete Mathematics
2 Axioms
2 Journal of Classical Analysis
1 Applicable Analysis
1 Communications in Mathematical Physics
1 International Journal of Mathematical Education in Science and Technology
1 Journal of Mathematical Physics
1 Lithuanian Mathematical Journal
1 Nuclear Physics. B
1 Journal of Economic Theory
1 Advances in Applied Mathematics
1 Acta Mathematica Hungarica
1 Applied Numerical Mathematics
1 Facta Universitatis. Series Mathematics and Informatics
1 Applied Mathematics Letters
1 Numerical Algorithms
1 Russian Journal of Mathematical Physics
1 Statistical Papers
1 Journal of the Egyptian Mathematical Society
1 Georgian Mathematical Journal
1 Journal of Mathematical Chemistry
1 Journal of Inequalities and Applications
1 Fractional Calculus & Applied Analysis
1 Far East Journal of Theoretical Statistics
1 Analysis (München)
1 Journal of High Energy Physics
1 Methodology and Computing in Applied Probability
1 Lobachevskii Journal of Mathematics
1 Computational Methods and Function Theory
1 Thai Journal of Mathematics
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Mediterranean Journal of Mathematics
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Physical Review, II. Series
1 Scientia. Series A: Mathematical Sciences. New Series
1 Journal of Mathematical Inequalities
1 Journal of Nonlinear Science and Applications
1 Science China. Mathematics
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Analysis and Mathematical Physics
1 Afrika Matematika
1 International Journal of Applied and Computational Mathematics
1 Transactions of A. Razmadze Mathematical Institute

Citations by Year