Osman Yurekli

Professor, Mathematics

Title

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.
    WEBLINK

2017

  • A Generalization of the Krätzel Function and Its Applications
    with Ahmet Dernek and Neşe Dernek
    Journal of Mathematics, 1917.
    WEBLINK

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.
    WEBLINK
  • Identities for the Widder transform and transforms with Bessel function kernels
    with Faruk Uçar
    Journal of Applied Mathematics and Computation, 218, (2011), 1096–1101
    WEBLINK

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
    WEBLINK

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
    WEBLINK

  • 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
    WEBLINK

  • 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
    WEBLINK

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
    WEBLINK
  • Identities for the E2,1-transform and their applications
    with David Brown, and Neşe Dernek
    Applied Mathematics and Computation, 187, (2007), 1557–1566
    WEBLINK

  • Identities on fractional integrals and various integral transforms
    Applied Mat06hematics and Computation, 187, (2007), 559–566
    WEBLINK

  • 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)
    WEBLINK

  • Undergraduate research in mathematics as a curricular option
     with David Brown
    International Journal of Mathematical Education in Science and Technology, 38, (2007), 187–194
    WEBLINK

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
    WEBLINK
  • 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
    WEBLINK

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
    WEBLINK

  • 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
    WEBLINK

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
    WEBLINK

1999

  • Theorems on L2-transform and its applications
    Complex Variables Theory and Applications, 38, (1999), 95–107
    WEBLINK

  • New identities involving the Laplace and the L2-transforms and their applications
    Applied Mathematics and Computation, 99, (1999), 141–151
    WEBLINK

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
    WEBLINK

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
    WEBLINK

  • A theorem on a Stieltjes-type integral transform and its applications,
    with Hari M. Srivastava
    Complex Variables Theory and Applications, 28, (1995) 159–168
    WEBLINK

  • Optimal open/closed-loop control for systems with distributed parameter
    with Ibrahim Sadek. Journal of the Franklin Institute, 332, (1995), 5–19
    WEBLINK

1992

  • A theorem on a Stieltjes-type integral transform and its applications
    Journal of Mathematical Analysis and Applications, 168, (1992), 63–71
    WEBLINK

  • 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
    WEBLINK

  • A theorem on Widder’s potential transform and its applications
    with Hari M. Srivastava
    Journal of Mathematical Analysis and Applications, 154, (1991), 585–593
    WEBLINK

1989

  • A Parseval-type theorem applied to certain integral transforms
    IMA Journal of Applied Mathematics, 42, (1989), 241–249
    WEBLINK

  • 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).