Publications

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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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).
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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

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

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

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

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

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

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

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

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

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).

Faculty