Student names are in bold faces.
2020
- Integral Transforms and Parseval–Goldstein-Type Relationships
Book Chapter in Recent Advances in Mathematics for Engineering, Edited By Mangey Ram
CRC Press, 2020.
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2017
- A Generalization of the Krätzel Function and Its Applications
with Ahmet Dernek and Neşe Dernek
Journal of Mathematics, 1917.
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2014
- Divination: Using Excel to explore ethnomathematics
with Cristina Gomez and Hannah Oppenheim
Spreadsheets in Education, 8, (2014).
WEBLINK - Identities for the Glasser transform and their applications
with Ahmet Dernek and Neşe Dernek
Contemporary Analysis and Applied Mathematics, 2, (2014), 146–160
2011
- A generalization of the Widder potential transform and applications
with Neşe Dernek, Veli Kurt and Yılmaz Şimşek
Integral Transforms and Special, 22, (2011), 391–401.
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Identities for the Widder transform and transforms with Bessel function kernels
with Faruk Uçar
Journal of Applied Mathematics and Computation, 218, (2011), 1096–1101
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2009
- Identities for the Hankel transform and their applications
with Ahmet Dernek, and Neşe Dernek
Journal of Mathematical Analysis and Applications, 354, (2009), 165–176
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2008
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Identities and Parseval type relations for the L2-transform
with David Brown, and John Maceli
Journal of Applied Mathematics and Computation, 196, (2008), 426–432
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Some Parseval-Goldstein type identities involving the FS,2-transform, the FC,2-transform and the P4-transform and their applications
with Neşe Dernek, and Hari M. Srivastava
Applied Mathematics and Computation, 202, (2008), 327–337
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Identities on fractional integrals and various integral transforms
with Scott Herman, John Maceli, and Matt Rogala.
International Journal of Mathematical Education in Science and Technology, 39, (2008), 109–115
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2007
- Parseval-Goldstein type identities involving the L4-transform and the P4-transform and their applications
with Neşe Dernek, and Hari M. Srivastava.
Integral Transforms and Special Functions, 18, (2007), 397–408
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Identities for the E2,1-transform and their applications
with David Brown, and Neşe Dernek
Applied Mathematics and Computation, 187, (2007), 1557–1566
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Identities on fractional integrals and various integral transforms
Applied Mat06hematics and Computation, 187, (2007), 559–566
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On interpolation functions of the twisted generalized Frobenius-Euler numbers
with Veli Kurt and Yılmaz Şimşek
Advanced Studies in Contemporary Mathematics, 15, 187–194, (2007)
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Undergraduate research in mathematics as a curricular option
with David Brown
International Journal of Mathematical Education in Science and Technology, 38, (2007), 187–194
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2006
- Identities for the exponential integral and the complementary error transforms
with David Brown and Neşe Dernek
Applied Mathematics and Computation, 182, (2006), 1377–1384
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Undergraduate research experience at Ithaca College
with David Brown
Proceedings of the Third International Conference on the Teaching of Mathematics, ICTM 3, (2006) -
Integrating inquiry/discovery based activities into the mathematics curriculum
with David Brown
Mathematicians and Education Reform Forum, 19, (2006), 4–10
2005
- An operator method for evaluating Laplace transforms
with Brian G. Lanoue
International Journal of Mathematical Education in Science and Technology, 36, (2005), 553–559
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2003
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Summation formulas involving m-Bonacci numbers
with Joel Chamberlain and Nataniel Higgins
International Journal of Mathematical Education in Science and Technology, 35, (2003), 935–940
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A new method of solving Hermite’s differential equation using the L2-transform
with Scott O. Wilson
Applied Mathematics and Computation, 145, (2003), 495–500
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2002
- A new method of solving Bessel’s differential equation using the L2-transform
with Scott O. Wilson
Applied Mathematics and Computation, 130, (2002), 587–591
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1999
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Theorems on L2-transform and its applications
Complex Variables Theory and Applications, 38, (1999), 95–107
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New identities involving the Laplace and the L2-transforms and their applications
Applied Mathematics and Computation, 99, (1999), 141–151
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1998
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A new method of solving Bessel’s differential equation using the L2-transform
with Özgen Saygınsoy
International Journal of Mathematical Education in Science and Technology, (1998), 26, 561–567
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1997
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A theorem on the Laplace transform and its applications
with Christine Graziadio
International Journal of Mathematical Education in Science and Technology, 28, (1997), 616–621
1995
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A theorem on the Glasser transform and its applications
with Yasemin Kahramaner and Hari M. Srivastava
Complex Variables Theory and Applications, 27, (1995) 7–15
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A theorem on a Stieltjes-type integral transform and its applications,
with Hari M. Srivastava
Complex Variables Theory and Applications, 28, (1995) 159–168
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Optimal open/closed-loop control for systems with distributed parameter
with Ibrahim Sadek. Journal of the Franklin Institute, 332, (1995), 5–19
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1992
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A theorem on a Stieltjes-type integral transform and its applications
Journal of Mathematical Analysis and Applications, 168, (1992), 63–71
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An inversion formula for the Widder potential transform International
Journal of Mathematics Education in Science and Technology, 23, (1992), 152–154
1991
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A Parseval-Goldstein type theorem on the Widder potential transform and its applications
with Ibrahim Sadek
International Journal of Mathematics and Mathematical Sciences, 14, (1991), 517–524
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A theorem on Widder’s potential transform and its applications
with Hari M. Srivastava
Journal of Mathematical Analysis and Applications, 154, (1991), 585–593
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1989
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A Parseval-type theorem applied to certain integral transforms
IMA Journal of Applied Mathematics, 42, (1989), 241–249
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Identities, inequalities, Parseval type relations for integral transforms and fractional integrals. ProQuest LLC, Ann Arbor, MI, Ph. D. Thesis, 134 pages, University of California, Santa Barbara (1988).