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@article{DBLP:journals/jcam/HasegawaS24,
  author       = {Takemitsu Hasegawa and
                  Hiroshi Sugiura},
  title        = {An automatic quadrature method for semi-infinite integrals of exponentially
                  decaying functions and its Matlab code},
  journal      = {J. Comput. Appl. Math.},
  volume       = {437},
  pages        = {115450},
  year         = {2024}
}

@article{DBLP:journals/cma/YoshiokaTTYH22,
  author       = {Hidekazu Yoshioka and
                  Motoh Tsujimura and
                  Tomohiro Tanaka and
                  Yumi Yoshioka and
                  Ayumi Hashiguchi},
  title        = {Modeling and computation of an integral operator Riccati equation
                  for an infinite-dimensional stochastic differential equation governing
                  streamflow discharge},
  journal      = {Comput. Math. Appl.},
  volume       = {126},
  pages        = {115--148},
  year         = {2022}
}

@article{DBLP:journals/corr/abs-2204-05716,
  author       = {Hidekazu Yoshioka and
                  Motoh Tsujimura and
                  Tomohiro Tanaka and
                  Yumi Yoshioka and
                  Ayumi Hashiguchi},
  title        = {Modeling and computation of an integral operator Riccati equation
                  for an infinite-dimensional stochastic differential equation governing
                  streamflow discharge},
  journal      = {CoRR},
  volume       = {abs/2204.05716},
  year         = {2022}
}

@article{DBLP:journals/cam/DasHPV21,
  author       = {Anupam Das and
                  Bipan Hazarika and
                  Panda Sumati Kumari and
                  V. Vijayakumar},
  title        = {An existence result for an infinite system of implicit fractional
                  integral equations via generalized Darbo's fixed point theorem},
  journal      = {Comput. Appl. Math.},
  volume       = {40},
  number       = {4},
  year         = {2021}
}

@article{DBLP:journals/corr/abs-1910-00807,
  author       = {Hidenori Ogata},
  title        = {A numerical method of computing Hadamard finite-part integrals with
                  an integral power singularity at the endpoint on a half infinite interval},
  journal      = {CoRR},
  volume       = {abs/1910.00807},
  year         = {2019}
}

@article{DBLP:journals/jcam/HazarikaSAR18,
  author       = {Bipan Hazarika and
                  H. M. Srivastava and
                  Reza Arab and
                  Mohsen Rabbani},
  title        = {Existence of solution for an infinite system of nonlinear integral
                  equations via measure of noncompactness and homotopy perturbation
                  method to solve it},
  journal      = {J. Comput. Appl. Math.},
  volume       = {343},
  pages        = {341--352},
  year         = {2018}
}

@article{DBLP:journals/jcam/Kang18,
  author       = {Hongchao Kang},
  title        = {Numerical integration of oscillatory Airy integrals with singularities
                  on an infinite interval},
  journal      = {J. Comput. Appl. Math.},
  volume       = {333},
  pages        = {314--326},
  year         = {2018}
}

@article{DBLP:journals/symmetry/SrivastavaEG18,
  author       = {Hari M. Srivastava and
                  Ahmed M. A. El{-}Sayed and
                  Fatma M. Gaafar},
  title        = {A Class of Nonlinear Boundary Value Problems for an Arbitrary Fractional-Order
                  Differential Equation with the Riemann-Stieltjes Functional Integral
                  and Infinite-Point Boundary Conditions},
  journal      = {Symmetry},
  volume       = {10},
  number       = {10},
  pages        = {508},
  year         = {2018}
}

@article{DBLP:journals/jcam/DasHAM17,
  author       = {Anupam Das and
                  Bipan Hazarika and
                  Reza Arab and
                  Mohammad Mursaleen},
  title        = {Solvability of the infinite system of integral equations in two variables
                  in the sequence spaces c\({}_{\mbox{0}}\) and l\({}_{\mbox{1}}\)},
  journal      = {J. Comput. Appl. Math.},
  volume       = {326},
  pages        = {183--192},
  year         = {2017}
}

@article{DBLP:journals/appml/Wang15a,
  author       = {Guotao Wang},
  title        = {Explicit iteration and unbounded solutions for fractional integral
                  boundary value problem on an infinite interval},
  journal      = {Appl. Math. Lett.},
  volume       = {47},
  pages        = {1--7},
  year         = {2015}
}

@article{DBLP:journals/amc/ChenA14,
  author       = {Ruyun Chen and
                  Congpei An},
  title        = {On the evaluation of infinite integrals involving Bessel functions},
  journal      = {Appl. Math. Comput.},
  volume       = {235},
  pages        = {212--220},
  year         = {2014}
}

@article{DBLP:journals/toms/RatnanatherKZDL14,
  author       = {J. Tilak Ratnanather and
                  Jung H. Kim and
                  Sirong Zhang and
                  Anthony M. J. Davis and
                  Stephen K. Lucas},
  title        = {Algorithm 935: \texttt{IIPBF}, a \texttt{MATLAB} toolbox for infinite
                  integral of products of two Bessel functions},
  journal      = {{ACM} Trans. Math. Softw.},
  volume       = {40},
  number       = {2},
  pages        = {14:1--14:12},
  year         = {2014}
}

@inproceedings{DBLP:conf/cdc/MironchenkoI14,
  author       = {Andrii Mironchenko and
                  Hiroshi Ito},
  title        = {Integral input-to-state stability of bilinear infinite-dimensional
                  systems},
  booktitle    = {{CDC}},
  pages        = {3155--3160},
  publisher    = {{IEEE}},
  year         = {2014}
}

@article{DBLP:journals/amc/Mehrem13,
  author       = {Rami Mehrem},
  title        = {Analytical evaluation of an infinite integral over four spherical
                  Bessel functions},
  journal      = {Appl. Math. Comput.},
  volume       = {219},
  number       = {21},
  pages        = {10506--10509},
  year         = {2013}
}

@article{DBLP:journals/amc/ChenW12,
  author       = {Yi{-}zhou Chen and
                  Z. X. Wang},
  title        = {Boundary integral equation method for periodic dissimilar elastic
                  inclusions in an infinite plate},
  journal      = {Appl. Math. Comput.},
  volume       = {218},
  number       = {17},
  pages        = {8578--8591},
  year         = {2012}
}

@article{DBLP:journals/mcm/RzepkaS07,
  author       = {Beata Rzepka and
                  Kishin B. Sadarangani},
  title        = {On solutions of an infinite system of singular integral equations},
  journal      = {Math. Comput. Model.},
  volume       = {45},
  number       = {9-10},
  pages        = {1265--1271},
  year         = {2007}
}

@article{DBLP:journals/toms/DeunC06,
  author       = {Joris Van Deun and
                  Ronald Cools},
  title        = {Algorithm 858: Computing infinite range integrals of an arbitrary
                  product of bessel functions},
  journal      = {{ACM} Trans. Math. Softw.},
  volume       = {32},
  number       = {4},
  pages        = {580--596},
  year         = {2006}
}

@article{DBLP:journals/na/Espelid05,
  author       = {Terje O. Espelid},
  title        = {Computation of an infinite integral using series acceleration},
  journal      = {Numer. Algorithms},
  volume       = {40},
  number       = {1},
  pages        = {17--22},
  year         = {2005}
}

@article{DBLP:journals/na/JezequelC04,
  author       = {Fabienne J{\'{e}}z{\'{e}}quel and
                  Jean Marie Chesneaux},
  title        = {Computation of an Infinite Integral Using Romberg'S Method},
  journal      = {Numer. Algorithms},
  volume       = {36},
  number       = {3},
  pages        = {265--283},
  year         = {2004}
}

@article{DBLP:journals/siamrev/Villacampa-Esteve97,
  author       = {Yolanda Villacampa{-}Esteve and
                  {\'{A}}ngel Balaguer and
                  Josep Lluis Us{\'{o}}{-}Dom{\'{e}}nech},
  title        = {Classroom Note: {A} Study of a Semi-Infinite Integral},
  journal      = {{SIAM} Rev.},
  volume       = {39},
  number       = {3},
  pages        = {494--495},
  year         = {1997}
}

@article{DBLP:journals/na/HasegawaS96,
  author       = {Takemitsu Hasegawa and
                  Avram Sidi},
  title        = {An automatic integration procedure for infinite range integrals involving
                  oscillatory kernels},
  journal      = {Numer. Algorithms},
  volume       = {13},
  number       = {1},
  pages        = {1--19},
  year         = {1996}
}

@article{DBLP:journals/na/CecchiP95,
  author       = {Maria Morandi Cecchi and
                  E. Pirozzi},
  title        = {A recursive algorithm by the moments method to evaluate a class of
                  numerical integrals over an infinite interval},
  journal      = {Numer. Algorithms},
  volume       = {10},
  number       = {1},
  pages        = {155--165},
  year         = {1995}
}

@article{DBLP:journals/siamrev/Davis94,
  author       = {A. M. J. Davis},
  title        = {An Infinite Integral {(J.} Billingham)},
  journal      = {{SIAM} Rev.},
  volume       = {36},
  number       = {1},
  pages        = {115},
  year         = {1994}
}

@article{DBLP:journals/siamrev/Miller94,
  author       = {A. R. Miller},
  title        = {An Infinite Integral of Four Bessel Functions {(M.} L. Glasser)},
  journal      = {{SIAM} Rev.},
  volume       = {36},
  number       = {2},
  pages        = {285--287},
  year         = {1994}
}

@article{DBLP:journals/siamrev/Billingham93,
  author       = {John Billingham},
  title        = {An Infinite Integral},
  journal      = {{SIAM} Rev.},
  volume       = {35},
  number       = {2},
  pages        = {298},
  year         = {1993}
}

@article{DBLP:journals/siamrev/Glasser93a,
  author       = {M. L. Glasser},
  title        = {An Infinite Integral of Four Bessel Functions},
  journal      = {{SIAM} Rev.},
  volume       = {35},
  number       = {2},
  pages        = {299},
  year         = {1993}
}

@article{DBLP:journals/siamrev/X93a,
  title        = {An Infinite Integral (Quickie)},
  journal      = {{SIAM} Rev.},
  volume       = {35},
  number       = {2},
  pages        = {307},
  year         = {1993}
}

@article{DBLP:journals/siamrev/Newberger91,
  author       = {Barry Newberger},
  title        = {An Infinite Integral},
  journal      = {{SIAM} Rev.},
  volume       = {33},
  number       = {3},
  pages        = {473},
  year         = {1991}
}

@inproceedings{DBLP:conf/issac/Takayama90a,
  author       = {Nobuki Takayama},
  title        = {An Algorithm of Constructing the Integral of a Module - an Infinite
                  Dimensional Analog of Gr{\"{o}}bner Basis},
  booktitle    = {{ISSAC}},
  pages        = {206--211},
  publisher    = {{ACM}},
  year         = {1990}
}

@article{DBLP:journals/computing/WimpKG86,
  author       = {Jet Wimp and
                  Robert Kline and
                  Andrew Galardi},
  title        = {Algorithms based on difference equations of infinite order and the
                  computation of Laplace-type integrals},
  journal      = {Computing},
  volume       = {37},
  number       = {1},
  pages        = {1--18},
  year         = {1986}
}

@article{DBLP:journals/dm/Roitman84,
  author       = {Moshe Roitman},
  title        = {An infinite family of integral graphs},
  journal      = {Discret. Math.},
  volume       = {52},
  number       = {2-3},
  pages        = {313--315},
  year         = {1984}
}

@article{DBLP:journals/computing/DonckerP76,
  author       = {Elise de Doncker and
                  Robert Piessens},
  title        = {Algorithm 32 automatic computation of integrals with singular integrand,
                  over a finite or an infinite range},
  journal      = {Computing},
  volume       = {17},
  number       = {3},
  pages        = {265--279},
  year         = {1976}
}

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